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Scilla [17]
4 years ago
14

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

so

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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