Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

calculate the area of the given irregular shape. type only the number v…

Question

calculate the area of the given irregular shape. type only the number value in the answer space to the nearest whole number.

Explanation:

Step1: Split shape into rectangles

We can divide the irregular shape into 5 rectangles: 1 central rectangle, and 4 smaller rectangles attached to its sides.
First, find the dimensions of the central rectangle:
Length: $4 + 3 + 3 = 10$ m, Width: $2 + 6 + 2 = 10$ m
Wait, alternatively, calculate each section:
Top rectangle: $4 \times 2$, Right rectangle: $6 \times 3$, Bottom rectangle: $4 \times 2$, Left rectangle: $6 \times 3$, Central rectangle: $4 \times 6$

Step2: Calculate area of each part

Top: $4 \times 2 = 8$
Right: $6 \times 3 = 18$
Bottom: $4 \times 2 = 8$
Left: $6 \times 3 = 18$
Central: $4 \times 6 = 24$

Step3: Sum all areas

$8 + 18 + 8 + 18 + 24$

Answer:

76