Question

A rectangle is 4 times as long as it is wide. The perimeter is 150cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary

Answer 1

Answer:

Length 60 cm

Width 15 cm

Step-by-step explanation:

Let

x ----> the length of rectangle

y----> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(x+y)$

we have

$P=150\ cm$

so

$150=2(x+y)$

simplify

$75=x+y$ ----> equation A

$x=4y$ ----> equation B

substitute equation B in equation A

$75=4y+y$

solve for y

$75=5y$

$y=15\ cm$

Find the value of x

$x=4y$ -----> $x=4(15)=60\ cm$

therefore

The dimensions of the rectangle are

Length 60 cm

Width 15 cm