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38. A football pitch measuring 120m by
80m is surrounded by a running track
measuring 15m wide all round. Find
area covered by the running track​

Sagot :

Answer:

Area of the running track = 6900 m²

Step-by-step explanation:

Length of a football pitch = 120 m

Width of the football pitch = 80 m

Area of the football pitch (Inner rectangle) = Length × Width

                                                                      = 120 × 80

                                                                      = 9600 m²

If a running track (width = 15 m) is built around the football pitch,

Length of the outer rectangle = 120 + 2×(15)

                                                  = 120 + 30

                                                  = 150 m

Width of the outer rectangle = 80 + 2×(15)

                                                = 110 m

Area of the outer rectangle = 150 × 110

                                              = 16500 m²

Therefore, area of the track around the football pitch = Outer rectangle - Inner rectangle

= 16500 - 9600

= 6900 m²

Area of the running track = 6900 m²

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