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The perimeter of a rectangular swimming pool is 86 m and its area is 450 m²

Sagot :

Answer:

let y=length & x = width

thus 2×+2y=86

×y=450 > × = 450/y.

2(450/y) + 2y =86. substitute x for y

900/y + 2y=86. multiply the whole

equation by y

900+2y²=86y

2y²-86y+900=0. divide by 2

y² - 43y+450=0

(y-18) (y-25)=0

y=18 or 25

so the length is 25m & the width is 18m

hope it helps.