Asked by Aria
A new fence is constructed on three sides of a
housing block with area 240 m2.
The fourth side facing the road is left open.
If 52 m of fencing is used, what are the
dimensions of the block?
housing block with area 240 m2.
The fourth side facing the road is left open.
If 52 m of fencing is used, what are the
dimensions of the block?
Answers
Answered by
Reiny
let the side parallel to the open side by y m
let each of the other two sides be x m
2x + y = 52
y = 52-2x
area = xy
x(52 - 2x) = 240
-2x^2 + 52x - 240 = 0
x^2 - 26x + 120 = 0
(x-20)(x-6) = 0
x = 20 or x = 6
if x = 20, then y = 52-40 = 12
if x = 6, then y = 52-12 = 40
make a sketch to show that both answers are valid
let each of the other two sides be x m
2x + y = 52
y = 52-2x
area = xy
x(52 - 2x) = 240
-2x^2 + 52x - 240 = 0
x^2 - 26x + 120 = 0
(x-20)(x-6) = 0
x = 20 or x = 6
if x = 20, then y = 52-40 = 12
if x = 6, then y = 52-12 = 40
make a sketch to show that both answers are valid
Answered by
titit goreng
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