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The diagonal of a rectangle in 8m longer than its shorter side.If the area of the rectangle is 60 sq m.,find its dimensions

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Sagot :

Answer:

width = 4.72m

length = 12.72m

Step-by-step explanation:

width = x

length = x+8

Area = length × width

60m² = (x+8)(x)

60m² = x²+8x

x²+8x = 60

x²+8x+16 = 60+16 [COMPLETING THE SQUARE]

(x+4)² = 76

√(x+4)² = √76

x+4 = √76

x = -4+√76

x = about 4.72

width = 4.72m

length = x+8,

length = 4.72+8

length = 12.62m

For exact measurements:

width = -4+√76 meters

length = 4+√76 meters