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2 answers:
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Considering the figure,
In ΔABC, right angled at B, we can use Pythagoras theorem :
..................(1)
Also we are given area of rectangle as 108 m²
Area of rectangle = length * breadth = x * y
.............(2)
........(3)
plugging the value of x from equation (3) in (1),
We can use quadratic formula to solve this.
On solving this we get four values of y as :
y=12, y=-12, y=9 and y=-9
since length cannot be negative we have two y values as :
y=12 and y=9
plugging these in equation (3) to get x as
x=108/y = 108/12 = 9
x = 108/9 =12
so we have two answers:
length =9 m and breadth = 12m
length =12 m and breadth =9m
Perimeter = 2(l+b)
Perimeter = 2(9+12) = 42m
Answer:
all work is pictured and shown
