Question

Stevie is building his first dollhouse that is 7 ft high and 12 ft wide. He wants to paint each section of the dollhouse a specific color as shown below.
How much area would be painted yellow?

• A. 18 sq ft
• B. 25 sq ft
• C. 30 sq ft
• D. 20 sq ft

Answer 1

The correct option is D 20 sq ft

The area painted yellow consists of two geometrical figures: a triangle and a rectangle.

Let us find the area of both the shapes.
(i) Triangle:
Base of the triangle = 4 ft
Height of the triangle = 4 ft
Area of the triangle = $\frac{Base\times Height}{2}$
→$\frac{4\times 4}{2}$ = $\frac{16}{2}$ = 8 sq ft

(ii) Rectangle
Length of the rectangle = 4 ft
Breadth of the rectangle = 3 ft
Area of the rectangle = Length$\times$Breadth
→ 4$\times$3 = 12 sq ft

Thus, total area painted yellow = Area of the triangle + Area of the rectangle
→ 8 + 12 = 20 sq ft