Testinar Grade 4 math

Area and Perimeter of Rectangles

Students will apply area and perimeter formulas to rectangles in real-world and mathematical problems.

CH07-03 Measurement, Data, and Angles
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A rectangle has a length of \(8\) ft and a width of \(5\) ft. What is its area?

    1. \(13\) sq ft
    2. \(26\) sq ft
    3. \(40\) sq ft
    4. \(45\) sq ft

  2. A rectangle has a length of \(12\) m and a width of \(7\) m. What is its perimeter?

    1. \(19\) m
    2. \(38\) m
    3. \(84\) m
    4. \(76\) m

  3. Diego draws a rectangle with a length of \(6\) cm and a width of \(4\) cm. What is the area of his rectangle?

    1. \(10\) sq cm
    2. \(20\) sq cm
    3. \(24\) sq cm
    4. \(30\) sq cm

  4. A garden is shaped like a rectangle. It is \(9\) feet long and \(5\) feet wide. How many feet of fencing are needed to go around the garden?

    1. \(14\) ft
    2. \(28\) ft
    3. \(45\) ft
    4. \(36\) ft

  5. What is the area of a rectangle that is \(10\) inches long and \(3\) inches wide?

    1. \(13\) sq in
    2. \(26\) sq in
    3. \(30\) sq in
    4. \(33\) sq in

  6. A poster is a rectangle with a length of \(11\) inches and a width of \(8\) inches. What is its perimeter?

    1. \(19\) in
    2. \(38\) in
    3. \(88\) in
    4. \(43\) in

  7. What is the area of the rectangle shown above?

    Area and Perimeter of Rectangles visual for G4-C07-T03-Q007
    1. \(10\) sq cm
    2. \(20\) sq cm
    3. \(21\) sq cm
    4. \(28\) sq cm

  8. A room is \(15\) feet long and \(12\) feet wide. What is the area of the floor?

    1. \(27\) sq ft
    2. \(54\) sq ft
    3. \(180\) sq ft
    4. \(120\) sq ft
Teacher and parent reference

Answer key and explanations

  1. C. \(40\) sq ft

    To find area, we multiply length times width: \(8 \times 5 = 40\) sq ft.

  2. B. \(38\) m

    Perimeter is the distance around the rectangle. Use the formula \(P = 2\ell + 2w = 2(12) + 2(7) = 24 + 14 = 38\) m.

  3. C. \(24\) sq cm

    Multiply length by width: \(6 \times 4 = 24\) sq cm.

  4. B. \(28\) ft

    To find how much fencing goes around the garden, we calculate perimeter: \(P = 2(9) + 2(5) = 18 + 10 = 28\) ft.

  5. C. \(30\) sq in

    Area \(= \text{length} \times \text{width} = 10 \times 3 = 30\) sq in.

  6. B. \(38\) in

    The perimeter of the poster is \(P = 2(11) + 2(8) = 22 + 16 = 38\) in.

  7. C. \(21\) sq cm

    From the diagram, length is \(7\) cm and width is \(3\) cm. Area \(= 7 \times 3 = 21\) sq cm.

  8. C. \(180\) sq ft

    The floor area is \(15 \times 12 = 180\) sq ft.

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