16. Find the breadth of a rectangle if its length is 20
cm and length of its diagonal is 25 cm.
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ANSWER:
Let the diagonal, length, and breadth be given by D, L, and B , respectively. From the statement of the problem, we know
D+L=20
B=15
From the Pythagorean theorem, we can write
B2+L2=D2
So we have three equations and three unknowns. Solving for D , L , and B , we get
D=1258cm
L=358cm
B=15cm
In particular, the length of the rectangle is 358=4.375cm.
Here is a sketch of the rectangle:
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Step-by-step explanation:
area of a rectangle=length×breadth
=20×breadth
diagonal=25
length = 5 cm
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