Rectangle and its Properties

This is an MCQ-based quiz for GRE on the topic of Rectangles.

A rectangle is a 2D shape in geometry, having 4 sides and 4 corners. Its two sides meet at right angles.

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Quantity A: The area of a rectangle with a perimeter of 40 Quantity B: The area of a triangle with a perimeter of 40

Quantity B is greater The relationship cannot be determined from the information given The two quantities are equal Quantity A is greater

Amy is building a rectangular patio in her backyard. She plans on making the patio 8 feet wide by 12 feet long. The rectangular bricks she is using are 6 inches long and 4 inches wide. How many bricks will Amy need to build her patio?

96 424 576 782 384

If a rectangle"s width is increased by 20%, and its length is decreased by 20%, which statement most accurately reflects the rectangle"s change in area?

The rectangle's area will be increased by 4%. The rectangle's area will be increased by 10%. The rectangle's area will be reduced by 4%. The rectangle's area will not change. The rectangle's area will be decreased by 10.%

Given Rectangle ABCD. Quantity A: The length of diagonal AC times the length of diagonal BD Quantity B: The square of half of ABCD"s perimeter

The relationship cannot be determined from the information given. Quantity A is greater. Quantity B is greater. The two quantities are equal.

A rectangle has an area of 48 and a perimeter of 28. What are its dimensions?

2 x 24 16 x 3 0.25 x 192 6 x 8 1 x 48

You are given a square and a rectangle. Which has the greater perimeter? Statement 1: The length of the rectangle is twice the sidelength of the square, Statement 2: The width of the rectangle is half the sidelength of the square.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question. BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question. EITHER statement ALONE is sufficient to answer the question. Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question. BOTH statements TOGETHER are insufficient to answer the question.

The perimeter of a rectangle is 130in. One side is 15in. What is the area of this rectangle?

932/3 in^2

441 in^2

750 in^2

575 in^2

410/3 in^2

If rectangle ABCD has a perimeter of 68, and the longer edge is 2.4 times longer than the shorter edge, then how long is the diagonal AC?

The area of a rectangle is 70in^2. Its perimeter is 38in. What is the length of its shorter side?

5 in

7 in

12 in

8 in