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4 years ago

The perimeter of a rectangular pool is 414 meters. The length is 7 meters more than 4 times the width find the length and width

Mathematics

1 answer:

Marina86 [1]4 years ago

8 0

Answer:

The length of rectangular pool is 167 meters and the width is 40 meters

Step-by-step explanation:

Let

x ----> the length of rectangular pool

y ----> the width of rectangular pool

we know that

The perimeter of rectangle (rectangular pool) is equal to

$P=2(x+y)$

we have

$P=414\ m$

$414=2(x+y)$

simplify

$207=x+y$ ----> equation A

$x=4y+7$ ----> equation B

solve the system by substitution

substitute equation B in equation A

$207=4y+7+y$

solve for y

$207-7=4y+y$

$200=5y$

$y=40\ m$

Find the value of x

$x=4y+7$

$x=4(40)+7=167\ m$

therefore

The length of rectangular pool is 167 meters and the width is 40 meters

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