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(PLS HELP I NEED THIS ITS DUE IN 30 MIN) The perimeter of the quadrilateral is 120 feet and BA = x + 30, BC = 2x + 10, and CD = x + 20. Determine the length of the sum of the smallest side and the largest side.

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ogorwyne

The length of the sum of the smallest value and the largest value is 105 feet.

Given data

BA = x + 30

BC = 2x + 10

CD = x + 20

Perimeter = 120 feet

How to find the length of the sum of the smallest side and the largest side.

The perimeter refers to the sum of all the dimensions which is given as 120 feet. We sum the dimensions given to find the value of x.

This is done as follows:

Perimeter = BA + BC +CD

120 = x + 30 + 2x + 10 + x + 20

120 = x + 2x + x + 30 + 10 + 20

120 = 4x + 60

4x = 120 - 60

4x = 60

x = 60 / 4

x = 15

plugging in x = 15 into the dimensions given we have

BA = x + 30

BA = 15 + 30

BA = 45

BC = 2x + 10

BC = 2 * 15 + 10

BC = 30 + 40

BC = 70

CD = x + 20

CD = 15 + 20

CD = 35

Hence we can say that the smallest value is 35 and the largest value is 70.

sum of the values

70 + 35 = 105

The sum of the smallest value and the largest value is 105 feet.

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