Question

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Explanation:

Problem 1

Step1: Split shape into 2 rectangles

Shape 1: $3\text{ in} \times 2\text{ in}$, Shape 2: $2\text{ in} \times (6-2)\text{ in}$

Step2: Calculate area of each rectangle

Area1: $3 \times 2 = 6$ square inches
Area2: $2 \times 4 = 8$ square inches

Step3: Sum the two areas

$6 + 8 = 14$ square inches

Problem 2

Step1: Split shape into 2 rectangles

Shape 1: $2\text{ ft} \times 6\text{ ft}$, Shape 2: $(4-2)\text{ ft} \times 4\text{ ft}$

Step2: Calculate area of each rectangle

Area1: $2 \times 6 = 12$ square feet
Area2: $2 \times 4 = 8$ square feet

Step3: Sum the two areas

$12 + 8 = 20$ square feet

Problem 3

Step1: Calculate area of outer rectangle

$7\text{ cm} \times 4\text{ cm} = 28$ square centimeters

Step2: Calculate area of inner cutout

$(7-2-2)\text{ cm} \times 2\text{ cm} = 3 \times 2 = 6$ square centimeters

Step3: Subtract cutout from outer area

$28 - 6 = 22$ square centimeters

Problem 4

Step1: Split shape into 2 rectangles

Shape 1: $4\text{ yd} \times 8\text{ yd}$, Shape 2: $(10-4)\text{ yd} \times 2\text{ yd}$

Step2: Calculate area of each rectangle

Area1: $4 \times 8 = 32$ square yards
Area2: $6 \times 2 = 12$ square yards

Step3: Sum the two areas

$32 + 12 = 44$ square yards

Problem 5

Step1: Calculate area of outer rectangle

$8\text{ m} \times 6\text{ m} = 48$ square meters

Step2: Calculate area of inner cutout

$(8-2-2)\text{ m} \times (6-4)\text{ m} = 4 \times 2 = 8$ square meters

Step3: Subtract cutout from outer area

$48 - 8 = 40$ square meters

Problem 6

Step1: Split shape into 2 rectangles

Shape 1: $5\text{ in} \times 2\text{ in}$, Shape 2: $3\text{ in} \times (6-2)\text{ in}$

Step2: Calculate area of each rectangle

Area1: $5 \times 2 = 10$ square inches
Area2: $3 \times 4 = 12$ square inches

Step3: Sum the two areas

$10 + 12 = 22$ square inches

Answer:

1. 14 square inches
2. 20 square feet
3. 22 square centimeters
4. 44 square yards
5. 40 square meters
6. 22 square inches