Question

The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. Find the area and the perimeter of the garden [Length of rectangle is 20 − (3.5 + 3.5) metres]

Answer 1

Length of the rectangle = [20 − (3.5 + 3.5)] metres = 13 m

Circumference of 1 semi-circular part = πr ${\displaystyle =(\frac{22}{7}\times 3.5)m=11m}$

Circumference of both semi-circular parts = (2 × 11) m = 22 m

Perimeter of the garden = AB + Length of both semi-circular regions BC and

DA + CD

= 13 m + 22 m + 13 m = 48 m­

Area of the garden = Area of rectangle + 2 × Area of two semi-circular regions

${\displaystyle [(13\times 7)+2\times \frac{1}{2}\times \frac{22}{7}\times {\left(3.5\right)}^2]m^2}$

= ${\displaystyle (91+38.5)m^2}$

= ${\displaystyle 129.5m^2}$