Question

a rectangle that has an area of 357 square inches is 17 inches wide. using the formula for area (a = lw), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches please select the best answer from the choices provided

Explanation:

Step1: Recall the area formula for a rectangle

The formula for the area \( A \) of a rectangle is \( A = lw \), where \( l \) is the length and \( w \) is the width. We need to solve for \( l \), so we can rearrange the formula to \( l=\frac{A}{w} \).

Step2: Substitute the given values

We know that \( A = 357 \) square inches and \( w = 17 \) inches. Substituting these values into the formula for \( l \), we get \( l=\frac{357}{17} \).

Step3: Perform the division

Calculating \( \frac{357}{17} \), we find that \( 17\times21 = 357 \), so \( l = 21 \) inches.

Answer:

A. 21 inches