The length of a swimming poollane

Mathematics

1 answer:

Hunter-Best [27]2 years ago

8 0

Answer:

x²+5x - 150 = 0

Step-by-step explanation:

Let the length be y and width be x

If the length of a swimming pool is 10 more than 2 times the width, then;

y = 2x+10 ...1

Since the Area is 300m²

A = xy

300 = xy .... 2

Substitute 1 into 2

300 = x(2x+10)

300 = 2x²+10x

Rearrange

2x²+10x - 300 = 0

Divide through by 2

x²+5x - 150 = 0

This gives the required quadratic expression

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