Question

what is the area of this figure?
14 cm
3 cm 4 cm
4 cm
7 cm
6 cm
3 cm
7 cm
write your answer using decimals, if necessary.
□ square centimeters
submit

Explanation:

Step1: Find base of the top triangle

First, calculate the total length of the base of the upper triangle by summing the horizontal segments:
$3 + 6 + 4 = 13$ cm

Step2: Calculate area of triangle

Use the triangle area formula $\frac{1}{2} \times \text{base} \times \text{height}$.
$\frac{1}{2} \times 13 \times 14 = 91$ cm²

Step3: Calculate area of lower shape

Split the lower shape into two rectangles:

• Left rectangle: $6 \times 4 = 24$ cm²
• Right rectangle: $7 \times 7 = 49$ cm²

Sum these areas: $24 + 49 = 73$ cm²

Step4: Total area of the figure

Add the area of the triangle and the lower shape:
$91 + 73 = 164$ cm²

Answer:

164 square centimeters