Q:
The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?
Answer & Explanation
Answer: A) 360sq metre
Explanation: Let the breadth of rectangle be x m.
Then, the length of rectangle = (x+ 6) m
Perimeter of rectangle = 2 (x+x+ 6) m
Therefore, 2 (x+x+ 6) = 84 m
4x+ 12 = 84
4x= 84 –12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle
Diagonal of rectangle = √(324+576) = 30 m = base of triangle
Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m
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