2 years ago

The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.

Mathematics

1 answer:

UkoKoshka [18]2 years ago

7 0

Answer:

40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

A = LW = (3w)(w) = 3w^2

P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

75 in^2 = 3w^2

25 in^2 = w^2 . . . . . divide by 3

5 in = w . . . . . . . . . square root

Then the perimeter is ...

P = 8w = 8(5 in) = 40 in

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