The area of rectangle is 1600sq.m. It's length is four times as long as it's width.Find it's perimeter.

Question

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It is question of 8th class.

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Answer 1

We can let w represent the width of the rectangle. If this is the case, then the length can be represented by 4w.

Since area is equal to length times width for a rectangle, we can write that:

1600 = length times width

1600 = 4w * w

This is equivalent to :

1600 = 4 w ^2

If you solve for w by dividing both sides of the equation by 4:

1600/4 = 4w^2/4

400=w^2

w= 20 m

(because 20 times 20 is 400)

Then the length is 4w or 4*20 or 80 m

The perimeter is 2 times the length plus 2 times the width OR:

Perimeter = 2*80 + 2*20

Perimeter = 160 + 40

Perimeter = 200 m