Try this 10-question quiz on the area and perimeter of rectangles. Pick the best answer for each question. Some questions show a picture. The explanations point out common mistakes, like mixing up area and perimeter.
Question 1 What is the area of a rectangle that is \(9\text{ ft}\) long and \(4\text{ ft}\) wide?
A 36 square feetB 26 square feetC 13 square feetD 18 square feetArea = 9 × 4 = 36 square feet. 26 is the perimeter, and 13 comes from adding the sides.
Question 2 What is the perimeter of a rectangle that is \(9\text{ ft}\) long and \(4\text{ ft}\) wide?
A 36 feetB 13 feetC 26 feetD 18 feetPerimeter = 2 × 9 + 2 × 4 = 26 feet. 36 is the area, and 13 only adds one length and one width.
Question 3 Count the squares. What is the area of the rectangle?7 units 3 units 7 columns and 3 rows of unit squares.
A 21 square unitsB 20 square unitsC 10 square unitsD 14 square unitsThere are 3 rows of 7 squares, so 3 × 7 = 21. 10 adds the sides, and 20 is the perimeter.
Question 4 A rectangle has an area of \(56\text{ sq in}\) and a length of \(8\text{ in}\). What is the width?
A 48 inB 7 inC 448 inD 64 inDivide: 56 ÷ 8 = 7 in. Subtracting, multiplying, or adding the numbers does not undo the area formula.
Question 5 A rectangle has a perimeter of \(24\text{ ft}\) and a length of \(8\text{ ft}\). What is the width?
A 4 ftB 8 ftC 16 ftD 3 ftTwo lengths use 16 ft, so 24 - 16 = 8 ft is left for two widths, and 8 ÷ 2 = 4 ft. Stopping at 8 forgets to split between two widths.
Question 6 A dog run is \(15\text{ ft}\) by \(6\text{ ft}\). How much fence goes all the way around it?15 ft 15 ft 6 ft 6 ft All four sides are labeled.
A 90 ftB 42 ftC 21 ftD 36 ftFence is perimeter: 15 + 6 + 15 + 6 = 42 ft. 90 is the area, and 36 forgets one side.
Question 7 Which rectangle with a perimeter of 16 ft has the greatest area?
A 5 ft by 3 ftB 6 ft by 2 ftC 4 ft by 4 ftD 7 ft by 1 ftThe areas are 16, 15, 12, and 7 square feet. The shape closest to a square covers the most.
Question 8 A \(4\text{ ft}\) by \(3\text{ ft}\) rectangle has both sides doubled. What is the new area?8 ft 6 ft Original 4 by 3, new 8 by 6.
A 24 square feetB 48 square feetC 14 square feetD 28 square feetThe new sides are 8 ft and 6 ft, so 8 × 6 = 48. Doubling both sides makes the area 4 times as big, not 2 times.
Question 9 Which job needs the area of a rectangle, not the perimeter?
A Putting a fence around a yardB Hanging lights around a windowC Gluing trim along the edge of a tableD Covering a floor with carpetCarpet covers the inside of a space, so use area. The other jobs go around an edge, so they use perimeter.
Question 10 A square tile has a side of \(5\text{ in}\). What is its perimeter?
A 25 inB 10 inC 15 inD 20 inPerimeter = 4 × 5 = 20 in. 25 is the area, and 10 only adds two sides.
Download PDFDownload the 4th Grade Area and Perimeter of Rectangles Quiz: 10 Questions with Explanations (PDF, 59 KB)
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