A rectangle Has an area of 105 ft.² if the sum of the length and width is 26 feet find the dimensions include units

Question

Mathematics

Trigger

3 April, 08:57

A rectangle Has an area of 105 ft.² if the sum of the length and width is 26 feet find the dimensions include units

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Answers (1)

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Dallas Armstrong · Answer 1

LW=105

L+W=26

L=26-W

(26-W) W=105

26W-W^2=105

0=W^2-26W+105

-105=W^2-26W

-105+169=W^2-26W+169

64 = (W-13) ^2

8 = - (W-13) and (W-13)

8 = - W+13

5=W

8 = W-13

21=W

105 = 5*21

Answer: 5 feet x 21 feet