Question

1. a rectangle has an area of 65 cm² and a length of 13 cm. find the perimeter of this rectangle.

Explanation:

Step1: Find the width of the rectangle

We know that the area formula of a rectangle is $A = l\times w$, where $A$ is the area, $l$ is the length and $w$ is the width. Given $A = 65\ cm^{2}$ and $l=13\ cm$, we can solve for $w$ by $w=\frac{A}{l}$. So $w = \frac{65}{13}=5\ cm$.

Step2: Calculate the perimeter of the rectangle

The perimeter formula of a rectangle is $P = 2(l + w)$. Substitute $l = 13\ cm$ and $w = 5\ cm$ into the formula. Then $P=2\times(13 + 5)=2\times18 = 36\ cm$.

Answer:

$36\ cm$