The perimeter of a rectangle is 48. the length of the rectangle is four less than three times the width. What is the length of t

Question

3 years ago

13

he rectangle ?

1 answer:

UkoKoshka [18] · Answer 1 · 2022-03-28T15:08:47+03:00

The length of rectangle is: 17

Further explanation:

Given

Perimeter = 48

Let L be the length

Let W be the width

Then

$2L+2W=48\\AND\\L=3W-4$

Putting the value of L in perimeter

$2(3W-4)+2W=48\\6W-8+2W=48\\8W-8=48\\8W=48+8\\8W=45\\\frac{8W}{8}=\frac{56}{8}\\W=7$

Putting W=7 in second equation

$L=3(7)-4\\L=21-4\\L=17$

Hence,

The length of rectangle is: 17

Keywords: Perimeter of rectangle, Linear equations

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