SilvermistWF3825 SilvermistWF3825
  • 24-04-2021
  • Mathematics
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A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.

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abidemiokin
abidemiokin abidemiokin
  • 25-04-2021

Answer:

A = 10W - W²

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

Area of a rectangle =LW

L is the length

W is the width

Given

Perimeter = 20m

20 = 2 (L+W)

10 = L+W

L = 10 - W ....2

Substitute equation 2 into the formula for calculating the area

Recall that A = LW

A = (10-W)W

A = 10W - W²

Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²

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