Geometry

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SSAT Elementary Level Quantitative › Geometry

Questions 1 - 10

What is the area of the rectangle?

11x3

Explanation

We can find the area by counting the squares within the rectangle. There are squares.

We can also multiply the length and the width to find the area.

$11\times3=33in^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

What is the area of the rectangle?

Screen shot 2015 11 10 at 1.58.11 pm

Explanation

The formula to find area is $A=l\times w$ . We are given the length and the width from the problem, so we can plug those values into our equation and solve.

$12\times6=72cm^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

What is the length of a rectangular room with a perimeter of and a width of

Explanation

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

$\frac{50}{2}=\frac{2l}{2}$

What is the perimeter of a square that has a side measuring 1 inch in length?

$4\ inches$

$1\ inch$

$2\ inches$

$3\ inches$

Explanation

Perimeter is the sum of all the sides. For a square, $perimeter=side+side+side+side=4 \times side.$

Therefore, for this square,

$perimeter= 4 \times 1:inch=4:inches.$

The rectangle is made up of by squares. Use this information to help you solve the problem.

Screen shot 2015 09 29 at 10.44.22 am

If each of the small boxes in the figure below measures 1 in by 1 in, what is the area of the entire shape?

Screen shot 2015 09 29 at 10.43.53 am

Explanation

We can count the number of squares within the shape to find the area.

There are squares within the shape, which means the area is

*Area is the number of square units inside a shape, which is why area is always written with square units.

If the area of a square is , what is the perimeter of the square?

Explanation

Write the formula for the area of a square and substitute the area. The side length is needed to find the perimeter.

$s=\sqrt{100}=10$

There are sides in a square.

Screen_shot_2013-12-23_at_8.09.23_pm

What is the area of the above rectangle?

Explanation

To find the area of the rectangle, multiply the longer side (8) and shorter side (3) together.

$8\times 3=24$

What is the area of the rectangle?

Screen shot 2015 11 09 at 3.55.07 pm

Explanation

We can find the area by counting the squares within the rectangle. There are squares.

We can also multiply the length and the width to find the area.

$2\times4=8in^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

What is the area of the rectangle?

Screen shot 2015 11 09 at 2.12.38 pm

Explanation

We can find the area by counting the squares within the rectangle. There are squares.

We can also multiply the length and the width to find the area.

$7\times2=14in^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

Find the area of the rectangle shown below:

Screen shot 2015 11 03 at 3.04.08 pm

Explanation

The formula for area of a rectangle is length times width. The length of this rectangle is and the width is . $13\times6=78$ .

Because multiplication does not change when the order is changed, you could set the length as and the width as . The answer is the same either way.

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