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Question

The length of a rectangular field is 23 m more than its breadth. If the perimeter of the field is 206 m, then its area is
(a) 1520 m2
(b) 2420 m2
(c) 2480 m2
(d) 2520 m2


Solution

(d) 2520 m2

Let the breadth of the field be x m.
∴ Length = (x + 23) m

Now,
Perimeter=2(Length+Breadth)=2(x+x+23)=(4x+46) m
Thus, we have:
4x+46=2064x=206-46=160x=1604=40
∴ Breadth = x = 40 m
Length = x + 23 =40+23=63 m
Area=Length×Breadth=63×40=2520 m2

Mathematics
RS Aggarwal (2015)
Standard X

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