Question

The figure shown above represents a modern painting that consists of four differently colored rectangles,each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width,in inches, of each of the four rectangles?

• A. 15
• B. 20
• C. 25
• D. 30
• E. 40

Answer 1

The correct option is B 20

Total area of the painting = 4 $\times$ Area of 1 rectangle

Thus, 4800 = 4 $\times$ (l $\times$ w)

So, (l $\times$ w) = 1200.

From the figure,it is evident that l = 3w

So, 3w $\times$ w = 1200 $\to$ 3w${}^2$ = 1200 $\to$ w${}^2$ = 400 $\to$ w = 20 inches.

Option B