Question

a square and a rectangle have the same perimeter. the rectangle is 13 cm long and 7 cm wide. which is the length of a side of the square? a. 5 cm b. 10 cm c. 20 cm d. 40 cm e. 91 cm

Explanation:

Step1: Calculate rectangle perimeter

The formula for the perimeter of a rectangle is $P = 2(l + w)$. Given $l = 13$ cm and $w = 7$ cm, so $P=2\times(13 + 7)=2\times20 = 40$ cm.

Step2: Calculate side - length of square

The perimeter of a square is $P = 4s$, where $s$ is the side - length. Since the square and rectangle have the same perimeter ($P = 40$ cm), then $4s=40$, and $s=\frac{40}{4}=10$ cm.

Answer:

B. 10 cm