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The height and base of a triangle are equal to the length and breadth of a rectangle respectively. If the perimeter of the rectangle is 86m and the difference between its length and breadth is 5m, what is the area of' the triangle ? (in m2)

A) 224
B) 228
C) 216
D) 242
E) 256

Correct Answer:


B) 228

Description for Correct answer:
Let the length of rectangle be l m and breadth be b m

According to question,

l - b = 5 --- (i)

Perimeter of rectangle = \( 2 \left(l+b\right)=86 \)

l + b = 43 --- (ii)

On soling equations (i) and (ii) we get,

l = 24 m

b = 19 m

Height of triangle = Length of rectancle = 24 m

and base of triangle = Breadth of reftangle = 19m

Area of triangle= \( \frac{1}{2} \times 19 \times 24 = 228 m^{2} \)

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