The shape of a garden is rectangular in the middle and semicircular at

1.	The shape of a garden is rectangular in the middle and semicircular at the ends as shown in the diagram. Find the area and the perimeter of this garden. [Length of rectangle is 20 – (3.5 + 3.5) metres]
Answer» TOTAL area of the garden = Area of the rectangular portion + The sum of the areas of the pair of semi-circles =l.b+2× 2 1 πr 2 =(13×7)m 2 +( 2× 2 1 × 7 22 ×3.5×3.5 )m 2 =(91+38.5)m 2 =129.5m 2 . PERIMETER of the garden =2× length of rectangular portion + circumference of the circle =( 2×13+2× 7 22 ×3.5 )m =(26+22)m=48m. thanks

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

Answer»

TOTAL area of the garden = Area of the rectangular portion + The sum of the areas of the pair of semi-circles

=l.b+2×

πr

=(13×7)m

2×

×3.5×3.5

=(91+38.5)m

=129.5m

PERIMETER of the garden =2× length of rectangular portion + circumference of the circle

2×13+2×

×3.5

=(26+22)m=48m.

thanks