A rectangle has an area of 28 cm² and a length of 7 cm. What is its width?

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems:

1. Find the width
Given: Area ( $A$ ) = $28 \text{ cm}^2$ , Length ( $L$ ) = $7 \text{ cm}$ .

Write the formula for the area of a rectangle.
$A = L \times W$
Substitute the given values into the formula.
$28 \text{ cm}^2 = 7 \text{ cm} \times W$
Solve for the width ( $W$ ).
$W = \frac{28 \text{ cm}^2}{7 \text{ cm}}$ $W = 4 \text{ cm}$
The width is $\boxed{\text{4 cm}}$ .

2. Find the length
Given: Area ( $A$ ) = $120 \text{ dm}^2$ , Width ( $W$ ) = $8 \text{ dm}$ .
Write the formula for the area of a rectangle.
$A = L \times W$
Substitute the given values into the formula.
$120 \text{ dm}^2 = L \times 8 \text{ dm}$
Solve for the length ( $L$ ).
$L = \frac{120 \text{ dm}^2}{8 \text{ dm}}$ $L = 15 \text{ dm}$
The length is $\boxed{\text{15 dm}}$ .

3. Find the area of the rectangle
Given: Length ( $L$ ) = $10 \text{ cm}$ , Width ( $W$ ) = $9 \text{ cm}$ .
Write the formula for the area of a rectangle.
$A = L \times W$
Substitute the given values into the formula.
$A = 10 \text{ cm} \times 9 \text{ cm}$
Calculate the area.
$A = 90 \text{ cm}^2$
The area of the rectangle is $\boxed{\text{90 cm}^2}$ .

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