Question

The perimeter of a rectangle is 250 inches. if the length is 4 times as big as the width, what is the length and width of the rectangle?

Answer 1

The length and width of the rectangle are 7.90 inches and 31.6 inches respectively

It is given that,

Let the length of the rectangle = l

Let the width of the rectangle = w

The perimeter of the rectangle = 250 inches

l x w = 250 ....eq 1

Then,

Length is 4 times as big as width

4l = w

We need to find, the length and width of the rectangle

Putting the value of w in eqn 1

We get,

$4l^{2} = 250$

$l^{2} = 62.5$

$l = \sqrt{62.5}$

$l = 7.90$

Similarly, we can get,

w = 4l

w = 4 x 7.90

w = 31.6

Hence, the length and width of the rectangle are 7.90 inches and 31.6 inches respectively

To learn more about, perimeter, here

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