Question

Match the dimensions of the rectangles in the top row with the correct area or perimerter in the bottom row. Perimeter= 28 sq. in​

Answer 1

Rectangle 2 → Area of 36 sq cm ⇒ 2 → a

Rectangle 3 → Perimeter of 22 cm ⇒ 3 → b

Rectangle 4 → Perimeter of 30 cm ⇒ 4 → c

Rectangle 1 → Area of 45 sq cm ⇒ 1 → d

Explanation:

A similar question is seen in the attached diagram. From the diagram, 4 rectangles are given with the dimensions (length by

width):

1. 5 cm by 9 cm

2. 6 cm by 6 cm

3. 6 cm by 5 cm

4. 9 cm by 6 cm

The options to match the rectangles to are:

a) area = 36 sq cm

b) perimeter = 22 cm

c) perimeter = 30 cm

d) area = 45 sq cm

To get the matching options, we will calculate the areas & perimeters of rectangles 1 - 4

Area of rectangle = length * width

Perimeter of rectangle = 2 (length + width)

For Rectangle 1, we have:

L = 5 cm, W = 9 cm

Area = 5 * 9 = 45 sq cm

Perimeter = 2 (5 + 9) = 28 cm

For Rectangle 2, we have:

L = 6 cm, W = 6 cm

Area = 6 * 6 = 36 sq cm

Perimeter = 2 (6 + 6) = 24 cm

For Rectangle 3, we have:

L = 6 cm, W = 5 cm

Area = 6 * 5 = 30 sq cm

Perimeter = 2 (6 + 5) = 22 cm

For Rectangle 4, we have:

L = 9 cm, W = 6 cm

Area = 9 * 6 = 54 sq cm

Perimeter = 2 (9 + 6) = 30 cm

Based on the calculation, here is the inference:

Rectangle 2 → Area of 36 sq cm ⇒ 2 → a

Rectangle 3 → Perimeter of 22 cm ⇒ 3 → b

Rectangle 4 → Perimeter of 30 cm ⇒ 4 → c

Rectangle 1 → Area of 45 sq cm ⇒ 1 → d