Question

The shape of a garden is rectangular in the middle and semi circular at the ends.find the area and the perimeter of this garden

Answer 1

Area of garden = l×b+πb²/4
Perimeter of garden = 2l + πb

Answer 2

for the rectangular at the middle 
the area = l * b
the area of semi circle on the length side = 1/2 * 22/7 * (l/2)^ 2
the area of semi circle on breadth side = 1/2 * 22/7 * (b/2)^ 2
therefore , 
            area =  l * b +  1/2 * 22/7 * (l/2)^ 2 + 1/2 * 22/7 * (b/2)^ 2
 
the perimeter of rectangle = 2(l+b)
the circumferemce of semi circle on the length side = 1/2 * 22/7 * l/2
the circumference  of semi circle on breadth side = 1/2 * 22/7 * b/2
therefore , 
            perimeter = 2(l+b) +  +  1/2 * 22/7 * l/2 + 1/2 * 22/7 * b/2