Question

find the area of each shape. include units in your answer. 1. 10×5 = 50cm² 10 cm 5 cm 8 cm 6 cm 3 cm 4 cm 2. 4 mm 3 mm 6 mm

Explanation:

Step1: Divide shape 1 into two rectangles

The first rectangle has dimensions 10 cm by 5 cm and the second has dimensions 4 cm by 3 cm.

Step2: Calculate area of first rectangle in shape 1

$A_1 = 10\times5=50$ $cm^2$

Step3: Calculate area of second rectangle in shape 1

$A_2 = 4\times3 = 12$ $cm^2$

Step4: Calculate total area of shape 1

$A_{total1}=A_1 + A_2=50 + 12=62$ $cm^2$

Step5: Divide shape 2 into two rectangles

The first rectangle has dimensions 6 mm by 4 mm and the second has dimensions 3 mm by (6 - 4)=2 mm.

Step6: Calculate area of first rectangle in shape 2

$A_3 = 6\times4 = 24$ $mm^2$

Step7: Calculate area of second rectangle in shape 2

$A_4=3\times2 = 6$ $mm^2$

Step8: Calculate total area of shape 2

$A_{total2}=A_3+A_4 = 24 + 6=30$ $mm^2$

Answer:

1. $62$ $cm^2$
2. $30$ $mm^2$