jmontenegro jmontenegro
  • 28-04-2017
  • Mathematics
contestada

The perimeter of a rectangle is 20 centimeters. The length is 6 centimeters.
What is the area of the rectangle?

Respuesta :

katienwatkins
katienwatkins katienwatkins
  • 28-04-2017
Recall the formula for area of a rectangle

A = LW

A = area of rectangle
L = length of rectangle = 6
W = width of rectangle

Also, recall the formula for Perimeter of a rectangle

P = 2L + 2W

P = perimeter of rectangle = 20

We have L=6 and P=20. Use these to solve for W in the perimeter formula.

P = 2L + 2W
20 = 2(6) + 2W
20 = 12 + 2W
8 = 2W
4 = W

Thus, L = 6 and W = 4. Use these measurements to solve for A.

A = LW = 6 * 4 = 24 in^2
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