Question

what is the area of this figure? 4 cm 2 cm 8 cm 2 cm 3 cm 8 cm 4 cm 15 cm square centimeters submit work it out

Explanation:

Step1: Split figure into 3 rectangles

We divide the green shape into three separate rectangles with clear side lengths.

Step2: Calculate area of first rectangle

First rectangle: $l=4\ \text{cm}, w=8\ \text{cm}$
$\text{Area}_1 = 4 \times 8 = 32\ \text{cm}^2$

Step3: Calculate area of second rectangle

Second rectangle: $l=8\ \text{cm}, w=8-2=6\ \text{cm}$
$\text{Area}_2 = 8 \times 6 = 48\ \text{cm}^2$

Step4: Calculate area of third rectangle

Third rectangle: $l=3\ \text{cm}, w=4\ \text{cm}$
$\text{Area}_3 = 3 \times 4 = 12\ \text{cm}^2$

Step5: Sum all rectangle areas

Add the three areas to get total area.
$\text{Total Area} = 32 + 48 + 12$

Answer:

92 square centimeters