Question

examples: the figure is decomposed for you. 1. find the missing sides first. 2. then find the area of each shape. 3. add the area together to get the total for the figure. image of a composite figure with a larger rectangle (10m tall, total base 15m) and a smaller rectangle (4m wide) attached; missing side lengths marked with?_; bottom box: __ + __ = ____m²

Explanation:

Step1: Find missing sides

The length of the large rectangle: \(15 - 4 = 11\) m.
The height of the small rectangle: \(10 - 6 = 4\) m.

Step2: Calculate area of large rectangle

Area formula: \(A = l \times h\).
For large rectangle: \(11 \times 10 = 110\) \(m^2\).

Step3: Calculate area of small rectangle

For small rectangle: \(4 \times 4 = 16\) \(m^2\).

Step4: Sum the areas

Total area: \(110 + 16 = 126\) \(m^2\).

Answer:

\(110\) + \(16\) = \(126\) \(m^2\)