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Question

The difference between the length and breadth of a rectangle is $$23\ m$$. If the perimeter is $$206\ m$$ then the area is


A
1520m2
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B
2520m2
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C
2420m2
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D
None
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Solution

The correct option is B $$\displaystyle 2520\:m^{2}$$
Let breadth $$= x$$.
Length $$= x + 23$$.
Perimeter $$= 206\ m$$.
$$2(x + 23 + x) = 206$$
$$2x + 23 = 103$$
$$x = 40$$
Area $$= l \times b = 63 \times 40$$
$$= 2520 \displaystyle\ m^{2}$$

Mathematics

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