How to find the area of a rectangle in pre-algebra

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Math › How to find the area of a rectangle in pre-algebra

Questions 1 - 10

1

What is the area of a rectangle with a length of and a width of ?

Explanation

The area of a rectangle is the length times the width:

Plug in our given values and solve:

2

The area of a particular rectangle is . If the length of the rectangle is twice the width, what is the width of the rectangle?

Explanation

The forumla for the area of a rectangle is Length X Width. Here, that would be Width X 2Width (length). Solving for width, you get

. Dividing by 2 and taking the square root of each side gives us

. Thus, the width of the rectangle is units.

3

What is the area of a rectangle with a length of $\small 5$ and a width of $\small 3$ ?

Explanation

The area of a rectangle is equal to the product of the length and the width.

$A=l\times w$

We are given both values, so we simply multiply.

$A=5\times 3=15$

4

What is the area of a rectangle with a base of and a height of ?

Explanation

To find the area of a rectangle we multiply the base by the height.

Plug the number for the base and for the height into the equation to get .

We then multiply to find the answer for the area is .

5

What is the area of a rectangle with a base of and a height of ?

Explanation

To find the area of a rectangle we multiply the base by the height.

Plug in the number for the base and for the height to get

$A=4\cdot 15$

We then multiply to find the answer for the area is .

6

A rectangular field has a width of miles and a length of miles. What is the area of the field?

square miles

square miles

square miles

square miles

square miles

Explanation

We have the length and width of a rectangle. We know that the formula for the area of a rectangle is $Area = length \cdot width$ .

Therefore,

square miles.

7

What is the area of a rectangle with a base of and a height of ?

Explanation

To find the area of a rectangle we multiply the base by the height.

Plug the number for base and for height into the equation to get .

We then multiply to find the answer for the area is .

8

Find the area of a rectangle with a length of 18 meters and a width of 4 meters.

$72\ m^{2}$

$64\ m^{2}$

$108\ m^{2}$

$74\ m^{2}$

$100\ m^{2}$

Explanation

The area formula for a rectangle is $length\times width$ . Plug in the values and you get 72. Since area is squared, make sure your units are squared as well.

9

Rectangle

If and $BC = \frac{1}{3}\left ( AB\right )$ , what is the area of the rectangle?

Explanation

$Area\ of\ a\ Rectangle = Base \ast Height$

$= AB\ast BC$

$= AB \ast \frac{1}{3}\left ( AB\right )$

$=6 \ast \frac{1}{3}\left ( 6\right )$

$= 6\ast2$

10

What is the area of a rectangle with a base of and a height of ?

Explanation

To find the area of a rectangle we multiply the base by the height.

Plug the number for base and for height into the equation to get .

We then multiply to find the answer for the area is .

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