The width of the rectangle below is 6 cm, and its perimeter is 42 cm. What is its area? Its area is cm² Enter the answer Check it Improve this question

Question

asked Sep 12, 2023 108k views

1 Answer

EpiMan · Answer 1 · 2023-09-18T21:11:48+0000

ANSWER

A = 90 cm²

Step-by-step explanation

This is the rectangle

The perimeter of a rectangle is:

We know the perimeter is 42cm and the width is 6cm, we can find the length:

$\begin{gathered} 42=2\cdot6+2L \\ 42=12+2L \\ 42-12=2L \\ L=(42-12)/(2) \\ L=(30)/(2) \\ L=15\operatorname{cm} \end{gathered}$

The area of a rectangle is:

Now that we've found the length we can find the area:

$A=6\operatorname{cm}*15\operatorname{cm}=90\operatorname{cm}^2$