Question

the lawn is in shape of trapezium its parallel side measures 36 m and 60 m the distance between the parallel side is 16 m in the centre of long is a square beds that has an area of 169 m square find the area of remaining lawn and the perimeter of the flower bed

Answer 1

Solution:

Given:
The lawn is in shape of trapezium its parallel side measures 36 m and 60 m the distance between the parallel side is 16 m.

a = 36m,
b = 60m,
h = 16m.

In the center of long is a square beds that has an area of 169 m².

∴The remaining area left = area of trapezium - area of square
                                             = $\frac{1}{2}h(a+b) - a^2$
                                             = $\frac{1}{2} (16)(36+60) - 169$
                                             = $8(96) - 169$
                                             = $768-169$
∴The remaining area left = 599 m²


Area of square =a²
                   169 =a²
                   (13)²=a²
                     ∴ a = 13m,.
 
   Perimeter of square = 4a
                                       = 4(13)
∴ Perimeter of square = 52m

                  Hope it Helps