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BigorU [14]
3 years ago
15

Mr. rameriz is buying square stones to cover his patio. The patio measures 7.5 feet by 9 deer. Each stone is 6 inches on a side.

If Mr. rameriz buys 275 stones, are there enough stones to cover the patio
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0
The first thing we must do in this case is to calculate the area of the patio.
 We have then that:
 A = (7.5) * (9) = 67.5 feet ^ 2.
 Then, we calculate the area of each stone:
 Ap = (6) * (6) = 36in ^ 2
 We make the conversion to feet:
 Ap = (36) (in ^ 2) * (1/12) ^ 2 (foot / inches) ^ 2
 Ap = 0.25 feet ^ 2
 Finally we have that the area covered by all the stones is:
 (0.25) * (275) = 68.75 feet ^ 2
 We observed that:
 68.75 feet ^ 2> 67.5 feet ^ 2
 Answer:
 there are enough stones to cover the patio
 68.75 feet ^ 2> 67.5 feet ^ 2
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Step-by-step explanation:

Let,

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Using Pythagoras theorem;

a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\

Either,

x= 0

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As length cannot be zero, therefore,

Longer side = 28cm

Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/9323337
  • brainly.com/question/9381080

#LearnwithBrainly

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