3 years ago

A rectangle has perimeter 20m. Express the area of the rectangle as a function of the length of one of its sides.

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

<h2>Area of rectangle is 10L-L²</h2>

Step-by-step explanation:

Let L be the length and W be the width.

Perimeter of rectangle = 2 ( L + W )

That is

2 ( L + W ) = 20

L + W = 10

W = 10 - L

We need to express the area of the rectangle as a function of the length of one of its sides.

Area = Length x Width

A = LW

A = L(10 - L) = 10L-L²

Area of rectangle is 10L-L²

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