Question

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 the rectangle ?

Answer 1

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

Learn more about perimeter of rectangle at:

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