11. The length of a rectangle is twice its width. if the length of its diagonal is 16√5cm, find its area
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AREA▶L×B=16×32=512msq.
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Answer:
l=2b
d^2=l^2+b^2
d^2=(2b)^2+b^2
d^2=4b^2+b^2
(16√5)^2=5b^2
256*5=5b^2
1280=5b^2
b^2=1280/5
b^2=256
b=√256
b=16cm
l=2b
l=2*16
l=32cm
area of rectangle=lb
=32*16
=512cm^2
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