a rectangular board has an area of 165ft2 and a perimeter of 52ft. what is the equation that describe the area in terms of its width?
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a rectangular board has an area of 165ft2 and a perimeter of 52ft. what is the equation that describe the area
Answer:
w(26ft - w) = 165ft^2
Step-by-step explanation:
Let w be the width.
l = 2l + 2w
2l + 2w = 52
2l = 52 - 2w
l = 26- w
equation will be :
w(26 - w) = 165
Answer:
165 ft square = (52ft. - W) x W
Step-by-step explanation:
Area is length multiply to width which is equal to 165 square ft.
While perimeter is the sum of length and width that is equal to 52 ft.
A= area
W= Width
L= Length
P= perimeter
165 ft2 = L x W - - Eq. 1
52 ft = 2L + 2W - - Eq. 2
From eq. 2
L= 26ft. - W
Substitute to Eq. 1
165 ft2 = (26ft. - W) x W