Question

what is the area of the object shown? (the figure has a blue shape with labeled lengths: 17 cm, 3 cm, 6 cm, 3 cm, 9 cm)

Explanation:

Step1: Split shape into two rectangles

We can divide the figure into a left rectangle (6 cm × 9 cm) and a right rectangle (3 cm × (17-9) cm).

Step2: Calculate area of left rectangle

$\text{Area}_1 = 6 \times 9 = 54$ cm²

Step3: Calculate area of right rectangle

$\text{Area}_2 = 3 \times (17-9) = 3 \times 8 = 24$ cm²

Step4: Sum the two areas

$\text{Total Area} = 54 + 24 = 78$ cm²

Answer:

78 cm²