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2 years ago

Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.

Mathematics

2 answers:

tatuchka [14]2 years ago

8 0

Hi there,

A rectangle has got 2 lengths, and 2 widths, so we have got the formula:

P = 2·L + 2·l, where P - perimeter, L - length, and l - width.

P -- 2·L = 2·l, if we divide everything by 2, we have

P/2 -- L = l, so l = P/2 -- L = 76/2 -- 20 = 38 -- 20 = 18 cm, so l = 18 cm.

Was it difficult ?

Green eyes.

DIA [1.3K]2 years ago

5 0

The fromula of a perimeter of rectangle:

P = 2(l + w)

We have P = 76 cm and l = 20 cm.

Substitute:

2(20 + w) = 76 use distrubutive property

(2)(20) + (2)(w) = 76

40 + 2w = 76 subtract 40 from both sides

2w = 36 divide both sides by 2

w = 18

<h3>Answer: the width = 18 cm</h3>

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