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ISEE Upper Level Quantitative : How to find area

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Example Question #111 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Rectangle 1

The above rectangle, which has perimeter 360, is divided into squares of equal size. Give the area of the shaded portion.

Possible Answers:

700 $\displaystyle 700$

1,400 $\displaystyle 1,400$

2,800 $\displaystyle 2,800$

5, 600 $\displaystyle 5, 600$

Correct answer:

2,800 $\displaystyle 2,800$

Explanation:

The sides of the rectangle, in total, are divided into 18 segments of equal measure, as indicated below:

Rectangle 2

The rectangle has a total perimeter of 360, so each segment - one side of a square - measures $36 0 \div 18 = 20$ $\displaystyle 36 0 \div 18 = 20$ . Each square has area $20 ^{2} = 400$ $\displaystyle 20 ^{2} = 400$ , so the shaded portion of the rectangle, which comprises seven squares, has area

$400 \times 7 = 2,800$ $\displaystyle 400 \times 7 = 2,800$ .

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ISEE Upper Level Quantitative : How to find area

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

All ISEE Upper Level Quantitative Resources

Example Questions

Example Question #111 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

All ISEE Upper Level Quantitative Resources

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