A shape consists of a rectangular base with a semicircular top, as shown a Given that the perimeter of the shape is 40 cm, show that its area, A cm 2 , is given by the formula where r cm is the radius of the semicircle b Hence find the maximum value for the area of the shape A 40r2r2 2

Question: A shape consists of a rectangular base with a semicircular top, as shown. a. Given that the perimeter of the shape is 40 cm, show

A shape consists of a rectangular base with a semicircular top, as shown.

a. Given that the perimeter of the shape is 40 cm, show that its area, A cm², is given by the formula

where r cm is the radius of the semicircle.

b. Hence find the maximum value for the area of the shape.

A = 40r2r2- 2

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