Respuesta :
Let the length of the rectangle be L and the width be W.
Given that the length is twice the width, Then :
L = 2W .....(1)
But we know that the perimeter is 36.
==> 2L + 2W = 36
==> 2L + L = 36
==> 3L = 36
==> L = 36/3 = 12
==> W = 12/2 = 6
Now we will calculate the area:
==> A = L * W = 12* 6 = 72 square feet.
Then the area of the rectangle is 72 square feet.
What do you know?: The Length Is Twice the Width
Write an equation: l = 2w
What else do you know?: The Perimeter is 36
Write and equation: P = 2l + 2w >>> 36 = 2l + 2w
Divide 36 by 3: 36 / 3 = 12
Put 12 in for w: l = 2(12) >>> l = 24
The Length is 24, and the Width is 12.
Write an equation: l = 2w
What else do you know?: The Perimeter is 36
Write and equation: P = 2l + 2w >>> 36 = 2l + 2w
Divide 36 by 3: 36 / 3 = 12
Put 12 in for w: l = 2(12) >>> l = 24
The Length is 24, and the Width is 12.