The length of a rectangle is three times it’s width. The perimeter is 100. What are the dimensions

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

The length of rectangle is 37.5 and width is 12.5

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = 3w

Perimeter of rectangle = 100

Perimeter = 2(Length+Width)

$100=2(3w+w)\\100=2(4w)\\100=8w\\8w=100$

Dividing both sides by 8

$\frac{8w}{8}=\frac{100}{8}\\w=12.5$

Width of rectangle = 12.5

Length of rectangle = 3(12.5) = 37.5

The length of rectangle is 37.5 and width is 12.5

Keywords: Rectangle, perimeter

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