The length of a rectangle is 4 cm less than twice its width. Its perimeter is 40 cm. Find its length and width.

hexacordoK

hexacordoK

Answered question

2021-01-31

The length of a rectangle is 4 cm less than twice its width. Its perimeter is 40 cm. Find its length and width.

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-02-01Added 109 answers

Let x be the width so that 2x-4 is the length, both in cm.
The perimeter of a rectangle is given by: P=2l+2w
where l is the length and w is the width.
Given a perimeter of 40 cm, we can write: 40=2(2x-4)+2(x)
Solve for x. Divide both sides by 2: 20=(2x-4)+
20=3x-4
24=3x
8=x
So, the dimensions of the rectangle are: length: 2x-4=2(8)-4=12cm
width: x=8 cm
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is given below (on video)

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