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A four-sided figure with a perimeter of 120 cm has a width which is 30cm less than twice it’s length. What kind of quadrilateral is this? Justify your answer.

Sagot :

abidemiokin

Since the opposite side of the quadarilateral are equal hence it is a rectangle.

Perimeter of a rectangle

The sum of the external side is equal to the perimeter. The perimeter of the shape is expressed as:

P = 2(l+w)

where:

P = 120cm

If the width is 30cm less than twice it’s length, then;

w = 2l + 30

Substitute

120 = 2(l + 2l + 30)
60 = 3l + 30
3l = 30
l = 10

Recall that:

w = 2l + 30
w = 2(10) + 30
w = 50cm

Since the opposite side of the quadarilateral are equal hence it is a rectangle.

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

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