Q32)A garden in the shape of
a rhombus. The perimeter of
the garden is 40m and its
diagnol is 16 m. It is to be
divide into two equal parts
and use these parts in
rotation. Then the area of
each part of the garden is *
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Answer:
Perimeter of the garden=40m
Length of each side of the rhombus=(40/4)m=10m
let length of the 2nd diagonal be x m
∴ a=÷2 (a:length of side, m:length of first diagonal, n:length of second diagonal)
=>2×10=
=>(20)²=256+n²
=>400=256+n²
=>n²=400-256=144
=>n=12m
Length of second diagonal=12m
Area of the garden=(m×n)÷2
=(16×12)÷2
=96m²
Area of each part of garden=(96÷2)=48m²
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