Solve Perimeter and Area Problems - 3rd Grade Math
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What is the perimeter of a square with side length $7$ inches?
What is the perimeter of a square with side length $7$ inches?
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$28$ inches. Use $P = 4(7) = 28$ for a square.
$28$ inches. Use $P = 4(7) = 28$ for a square.
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What is the perimeter of a rectangle with $l = 9$ cm and $w = 4$ cm?
What is the perimeter of a rectangle with $l = 9$ cm and $w = 4$ cm?
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$26$ cm. Use $P = 2(9) + 2(4) = 18 + 8 = 26$.
$26$ cm. Use $P = 2(9) + 2(4) = 18 + 8 = 26$.
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What is the perimeter of a polygon with side lengths $3$, $5$, $4$, and $6$ units?
What is the perimeter of a polygon with side lengths $3$, $5$, $4$, and $6$ units?
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$18$ units. Add all sides: $3 + 5 + 4 + 6 = 18$.
$18$ units. Add all sides: $3 + 5 + 4 + 6 = 18$.
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State the formula for the perimeter of a square with side length $s$.
State the formula for the perimeter of a square with side length $s$.
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$P = 4s$. Multiply side length by 4 since all sides are equal.
$P = 4s$. Multiply side length by 4 since all sides are equal.
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Find the missing width $w$ if a rectangle has perimeter $30$ and length $10$.
Find the missing width $w$ if a rectangle has perimeter $30$ and length $10$.
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$w = 5$. Use $30 = 2(10) + 2w$, so $2w = 10$, thus $w = 5$.
$w = 5$. Use $30 = 2(10) + 2w$, so $2w = 10$, thus $w = 5$.
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Find the missing side length $x$ if a triangle has perimeter $20$ and sides $6$, $7$, and $x$.
Find the missing side length $x$ if a triangle has perimeter $20$ and sides $6$, $7$, and $x$.
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$x = 7$. Subtract known sides from perimeter: $20 - 6 - 7 = 7$.
$x = 7$. Subtract known sides from perimeter: $20 - 6 - 7 = 7$.
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What is the area of a rectangle with $l = 6$ and $w = 4$ (for comparing area vs. perimeter)?
What is the area of a rectangle with $l = 6$ and $w = 4$ (for comparing area vs. perimeter)?
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$24$ square units. Area equals length times width: $A = 6 \times 4 = 24$.
$24$ square units. Area equals length times width: $A = 6 \times 4 = 24$.
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Find and correct the mistake: A student says $P = l + w$ for a rectangle.
Find and correct the mistake: A student says $P = l + w$ for a rectangle.
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Correct: $P = 2l + 2w$. Student forgot to multiply by 2; must count all 4 sides.
Correct: $P = 2l + 2w$. Student forgot to multiply by 2; must count all 4 sides.
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State the rule for finding the perimeter of any polygon from its side lengths.
State the rule for finding the perimeter of any polygon from its side lengths.
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Add all side lengths: $P = s_1 + s_2 + \cdots$. Perimeter is the sum of all side lengths.
Add all side lengths: $P = s_1 + s_2 + \cdots$. Perimeter is the sum of all side lengths.
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What is the perimeter of a pentagon with side lengths $2$, $2$, $3$, $3$, and $4$?
What is the perimeter of a pentagon with side lengths $2$, $2$, $3$, $3$, and $4$?
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$14$ units. Add all five sides: $2 + 2 + 3 + 3 + 4 = 14$.
$14$ units. Add all five sides: $2 + 2 + 3 + 3 + 4 = 14$.
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Which statement is true: Same area always means same perimeter, or it can mean different perimeters?
Which statement is true: Same area always means same perimeter, or it can mean different perimeters?
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Same area can mean different perimeters. Rectangles can have equal areas but different shapes/perimeters.
Same area can mean different perimeters. Rectangles can have equal areas but different shapes/perimeters.
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Find the missing side $x$ if a quadrilateral has perimeter $25$ and sides $6$, $8$, $5$, and $x$.
Find the missing side $x$ if a quadrilateral has perimeter $25$ and sides $6$, $8$, $5$, and $x$.
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$x = 6$. Subtract known sides: $25 - 6 - 8 - 5 = 6$.
$x = 6$. Subtract known sides: $25 - 6 - 8 - 5 = 6$.
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Identify the area of a rectangle with $l = 6$ and $w = 2$.
Identify the area of a rectangle with $l = 6$ and $w = 2$.
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$12$. Area equals length times width: $6 × 2 = 12$.
$12$. Area equals length times width: $6 × 2 = 12$.
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Identify the area of a rectangle with $l = 4$ and $w = 3$.
Identify the area of a rectangle with $l = 4$ and $w = 3$.
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$12$. Multiply length by width: $4 × 3 = 12$.
$12$. Multiply length by width: $4 × 3 = 12$.
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What is the perimeter of a $6 \times 2$ rectangle (length $6$, width $2$)?
What is the perimeter of a $6 \times 2$ rectangle (length $6$, width $2$)?
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$16$. Calculate $P = 2(6) + 2(2) = 12 + 4 = 16$.
$16$. Calculate $P = 2(6) + 2(2) = 12 + 4 = 16$.
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