The area of a rectangle is 34in² the length is 13 less than 2 times the width

Mathematics

1 answer:

Alborosie3 years ago

8 0

Answer:

width: 8.5

length: 4

Step-by-step explanation:

width: x

length: 2x - 13

area = length * width

34 = (2x - 13)x

34 = 2x² - 13x

2x² - 13x - 34 = 0

(2x - 17)(x + 2) = 0

2x - 17 = 0

2x = 17

x = 8.5

x + 2 = 0

x = -2 width cannot be negative so discard this

width: x = 8.5

length: 2x - 13 = 2(8.5) - 13 = 4

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