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Question
Find the area of a triangle with a base 12cm and a height equal to the width of a rectangle having area of 96cm2 and a length of 12cm.
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Solution
We know that the Area of a Rectangle, with length l and breadth b is A = l x b
The Area of the given Rectangle is 96cm2 and length of the given Rectangle is 12cm
Let its breadth = b cm
∴ 12 x b = 96
⇒ b = `(96)/(12)`
= 8cm
The height of the triangle = 8cm. We are given that the base of the triangle = 12cm
Area of a Triangle = `(1)/(2)"b.h"`
= `(1)/(2)(12).(8)`
= 48cm2.
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