1. 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 90m and the difference between its length and breadth is 7m, what is the area of the triangle ? (in m )
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- By: anil on 05 May 2019 01.21 amLet length of rectangle = $$x$$ m Breadth = $$(x - 7)$$ m => Perimeter of rectangle = $$2 (x + x - 7) = 90$$ => $$2x - 7 = frac{90}{2} = 45$$ => $$2x = 45 + 7 = 52$$ => $$x = frac{52}{2} = 26$$ => Breadth = 26 - 7 = 19 m => Height of triangle = 26 m and Base of triangle = 19 m $$ herefore$$ Area of triangle = $$frac{1}{2} imes 26 imes 19$$ = $$13 imes 19 = 247 m^2$$
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