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A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn?

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. M, then what is the width of the road? , ayuda porfa.

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En resumen

Area of the park = (60 x 40) m2 = 2400 m2. Area of the lawn = 2109 m2. Area of the crossroads = (2400 - 2109) m2 = 291 m2. Let the width of the road be x metres. Then, 60x + 40x - x2 = 291x2 - 100x + 291 = 0(x - 97)(x - 3) = 0x = 3. The width of the road is 3 m.

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Area of the park = (60 x 40) m2 = 2400 m2.

Area of the lawn = 2109 m2.

Area of the crossroads = (2400 - 2109) m2 = 291 m2.

Let the width of the road be x metres.

Then, 60x + 40x - x2 = 291x2 - 100x + 291 = 0(x - 97)(x - 3) = 0x = 3.

The width of the road is 3 m.