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yulyashka [42]
3 years ago
9

A square-shaped park has an area of 324 yd to the second power. What are the dimensions of the park? I need a step by step answe

r.
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

18 yards

Step-by-step explanation:

Area of park = 324 Square yards

Dimensions  \: of  \: the  \: park  \\  =  \sqrt{Area  \: of \:  park }  \\  =  \sqrt{324}  \\  = 18 \: yards

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

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L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
Math question below!!​
nikdorinn [45]

Answer:

A

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x = 5      ; x = -1

7 0
3 years ago
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