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Leto [7]
3 years ago
10

The length of a rectangle is six times its width. If the perimeter of the rectangle is 98 yd , find its area.

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
P=2(W + L)
p= 2W + 2L
98=2W + 2(6W)
98=2W + 12W
98=W
98/14=14W/14
W=7

L= 6W
L = 6(7)
L= 42

CHECK
p=2(7 +42)
p=2(49)
p= 98

Area of a rectangle = W X L
Area of a rectangle = 7 X 42
Area of a rectangle = 294
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Need an answer, please need an answer, please​
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Answer:

Step-by-step explanation:

Area = 192 m²

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x² - 28x + 192 = 0

2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.

3) The roots represent the width and length  of the rectangle.

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x = 12 ,16

4) Sum of the roots = 12 + 16 = 28

Sum of the roots = half of the perimeter

5) Product of the roots = 12*16 = 192 =  area of the rectangle.

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