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ISEE Middle Level Quantitative : Squares

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #111 : Geometry

David wants to put a fence around his backyard. How much fencing will he need if his backyard is 10ft $\displaystyle 10ft$ by 9ft? $\displaystyle 9ft?$

Possible Answers:

34ft $\displaystyle 34ft$

35ft $\displaystyle 35ft$

38ft $\displaystyle 38ft$

36ft $\displaystyle 36ft$

37ft $\displaystyle 37ft$

Correct answer:

38ft $\displaystyle 38ft$

Explanation:

The fence is going around the backyard, so this is a perimeter problem.

P=2l+2w $\displaystyle P=2l+2w$

$\displaystyle P=2(10)+2(9)$

P=20+18 $\displaystyle P=20+18$

P=38 $\displaystyle P=38$

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Example Question #1421 : Common Core Math: Grade 4

What is the length of a rectangular room with a perimeter of 88ft $\displaystyle 88ft$ and a width of 20ft? $\displaystyle 20ft?$

Possible Answers:

20ft $\displaystyle 20ft$

22ft $\displaystyle 22ft$

23ft $\displaystyle 23ft$

21ft $\displaystyle 21ft$

24ft $\displaystyle 24ft$

Correct answer:

24ft $\displaystyle 24ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 88=2l+2(20)$

$\displaystyle 88=2l+40$

Subtract $\displaystyle 40$ from both sides

$\displaystyle 88-40=2l+40-40$

48=2l $\displaystyle 48=2l$

Divide $\displaystyle 2$ by both sides

$\frac{48}{2}=\frac{2l}{2}$ $\displaystyle \frac{48}{2}=\frac{2l}{2}$

24=l $\displaystyle 24=l$

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All ISEE Middle Level Quantitative Resources

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ISEE Middle Level Quantitative : Squares

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #111 : Geometry

Example Question #1421 : Common Core Math: Grade 4

All ISEE Middle Level Quantitative Resources

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