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Hi i need help the question says

the length of a rectangle is one less than double the width . if the perimeter is 70 find the width

15 points please help

1 Answer

3 votes

Explanation:

let's just write it down in mathematical notation :

length = 2×width - 1

the perimeter is the way all around an object.

so, for a rectangle that is

2×length + 2×width

for our rectangle here

2×length + 2×width = 70

now we use the original identity of length via width and get

2×(2×width - 1) + 2×width = 70

4×width - 2 + 2×width = 70

6×width - 2 = 70

6×width = 72

width = 12

FYI

length = 2×width - 1 = 2×12 - 1 = 24 - 1 = 23

User Anton Makov
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