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Sagot :
Answer:
a) Area = 2x^2 + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Step-by-step explanation:
The computation is shown below:
Given that
length = 12x + 24 feet
And, the width be 20x - 10 feet
Now as we know that
Area of the rectangle = length × width
= (12x + 24) × (20x - 10)
= 12x (20x -10) + 24(20x - 10)
= 240x^2 - 120x + 480x - 240
= 240x^2 + 360x - 240
= 2x^2 + 3x - 2
Now for perimeter
As we know that
Perimeter of the rectangle = 2(Length + width)
= 2(12x + 24 + 20x - 10)
= 2(32x + 14)
= 64x + 28
In the case when the perimeter is 220
So,
220 = 64x + 28
64x = 220 - 28
64x = 192
x = 3
Now length is 12(3) + 24
= 36 + 24
= 60 feet
And, the width is
= 20(3) - 10
= 60 - 10
= 50 feet
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