13 The circumference of the circle and the perimeter of the rectangle are equal. The circle has a diameter of 20 cm. The rectangle has a length of 18 cm. Not drawn accurately x 20 cm 18 cm Work out the width of the rectangle, marked x on the diagram. cm. Round your answer to 1 decimal place. Help!!!
Mathematics · High School · Tue Nov 03 2020
Answered on
Given :
Diameter of circle = 20 cm
Length of rectangle = 18 cm
Let the width of rectangle be x
Then,
Circumference or circle = πd
= 22/7 × 20
And, Perimeter of rectangle = 2(l + w)
= 2(18 + x)
= 36 + 2x
Since, Circumference of circle and Perimeter of rectangle are equal.
22/7 × 20 = 36 + 2x
62.85 - 36 = 2x
26.85 = 2x
x = 26.85/2
x = 13.42 cm
Hence, width of rectangle is 13.42 cm