Question

find the area of the figure given below and write your answer in the empty box.
figure: a composite rectangle with top length 26 cm, right height 10 cm, a lower right rectangle missing with length 14 cm and height 7 cm, and left bottom length 12 cm
answer:
\boxed{} cm².

Explanation:

Step1: Split figure into two rectangles

We can divide the shape into a top rectangle and a bottom left rectangle.

Step2: Find dimensions of top rect

Top rectangle: length $26$ cm, width $10$ cm.
Area of top rect: $26 \times 10 = 260$ $\text{cm}^2$

Step3: Find dimensions of bottom rect

Bottom rectangle: width $12$ cm, height $7$ cm.
Area of bottom rect: $12 \times 7 = 84$ $\text{cm}^2$

Step4: Sum the two areas

Total area = Area of top rect + Area of bottom rect

Answer:

$260 + 84 = 344$ $\text{cm}^2$