Question

ne area of the following figure and write your in the empty box.

figure with dimensions: 21 m (top of upper rectangle), 11 m (height of the indent), 14 m (width of the indent), 16 m (height of the right side), 35 m (total width), and a purple l - shaped figure

er:
\b
m².

Explanation:

Step1: Split shape into 2 rectangles

We can divide the figure into a larger top rectangle and a smaller bottom rectangle.

Step2: Calculate bottom rectangle dimensions

Width of bottom rectangle: $35\ \text{m}$
Height of bottom rectangle: $16 - 11 = 5\ \text{m}$
Area of bottom rectangle: $35 \times 5 = 175\ \text{m}^2$

Step3: Calculate top rectangle dimensions

Width of top rectangle: $21\ \text{m}$
Height of top rectangle: $16\ \text{m}$
Area of top rectangle: $21 \times 16 = 336\ \text{m}^2$

Step4: Sum the two areas

Total area: $175 + 336 = 434\ \text{m}^2$

Answer:

$434$