Question

1. consider the irregular figure.

image of an irregular figure with dimensions: left side 14 cm, bottom base 16 cm, a slant side 10 cm, and two smaller rectangles (or squares) with side 4 cm each
what is the area of the figure?
write the answer in the box.
\boxed{} cm²

Explanation:

Step1: Split into rectangle and trapezoid

The figure can be divided into a right trapezoid (left part) and two small squares (right part, each 4×4 cm).

Step2: Calculate area of squares

Each square area: $4×4=16\ cm^2$. Two squares: $2×16=32\ cm^2$.

Step3: Find trapezoid dimensions

Trapezoid height: $16 - 4 - 4 = 8\ cm$. Bases: $14\ cm$ and $4 + 4 = 8\ cm$.

Step4: Calculate trapezoid area

Area formula: $\frac{(a+b)h}{2}$. Substitute: $\frac{(14+8)×8}{2}=88\ cm^2$.

Step5: Total area

Add trapezoid and squares: $88 + 32 = 120\ cm^2$.

Answer:

120