Question

1. find the shaded area,

(image of a rectangle divided into smaller rectangles with dimensions: width 1 ft, height 1 ft, shaded part with width 3/5 ft and height 2/3 ft, and multiple - choice options: a) 1/3 square foot, b) 2/5 square foot, c) 3/4 square foot, d) 1 4/15 square feet)

Explanation:

Step1: Identify shaded dimensions

The shaded region has a width of $\frac{3}{5}\text{ ft}$ and a height of $\frac{2}{3}\text{ ft}$.

Step2: Calculate area (width × height)

The area of a rectangle is given by the formula $A = \text{width} \times \text{height}$. Substituting the values, we get:

$$ A = \frac{3}{5} \times \frac{2}{3} $$

Simplify the fraction: The 3 in the numerator and denominator cancels out, leaving $\frac{2}{5}$.

Answer:

B. $\frac{2}{5}$ square foot