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adoni [48]
3 years ago
13

Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6

)feet and a width of 3.5x feet. How many feet of fencing will he need to buy? Write and simplify an expression to represent this situation? What properties did you use?
SHOW ALL WORK
Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Given dimensions of a rectangular garden are:

length = 2(x+6) feet

width = 3.5x feet

using the distributive property on length we get, length = 2x+12

Perimeter of a rectangle is 2(length+width)

So, P = 2(2x+12+3.5x)

Solving it we get,

P = 2(5.5x +12)   ..............adding like terms

P = (2\times5.5)+(2\times12) .............multiplying and adding

P = 11x+24

So, perimeter is 11x+24 feet. This value of fencing will be needed.

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Step-by-step explanation:

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See attachment for illustration of each case

Required

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Using Pythagoras theorem in ANB, we have:

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Take square roots of both sides

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Collect like terms

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Collect like terms

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This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

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