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3 years ago

A rectangular garden is 10 ft longer than it is wide. Its area is 1575 ft. What are its dimensions?

Mathematics

1 answer:

pav-90 [236]3 years ago

4 0

Answer:

W=35, L=45

Step-by-step explanation:

L= W+10

L×W=1575

(W+10)W=1575

W^2+10W=1575

W^2+10W-1575=0

(W-35)(W+45)=0

W=35 or W=-45 (cant be negative) so has to be 35

And L = W+10=45

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Answer:

Part 1) Helen will need 38 feet of fencing

Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet

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Step-by-step explanation:

Part 1) How much fencing will Helen need?

Find out the perimeter

we know that

The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle

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we have

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substitute

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Part 2) What is the perimeter around the three sides of the rectangular section of the garden?

$P=2L+W$

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$L=10\ ft\\W=7\ ft$

substitute

$P=2(10)+7$

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Part 3) What is the approximate distance around half of the circle?

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