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BaLLatris [955]
3 years ago
7

Pythagorean theorem please help

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

Answer:

4√73

Step-by-step explanation:

x^2= 12^2 + 32^2

x^2= 144+ 1024

x^2=1168

x= 4√73

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A rectangle has an area of 105 square feet. If the sum of the length and the width is 26 feet, find the dimensions. Include unit
Andrei [34K]

L x W = 105

L + W = 26 so L = 26 - W

substitute L = 26 - W into L x W = 105


(26 - W) x W = 105

26W - W^2 = 105

W^2 - 26W + 105 = 0

(W - 21)(W - 5) = 0

W - 21 = 0; W = 21

W - 5 = 0; W = 5


The the dimensions of the rectangle are 5 ft and 21 ft.


Double check:

The sum of the length and the width is 26 feet: 21 + 5 = 26 feet

A rectangle has an area of 105 square feet: 21 x 5 = 105 square feet



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