Question

5. Michael wants to place grass on the sides of his

Answer 1

Area of the shaded region to be covered with grass is 204 yd²

Step-by-step explanation:

• Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.

Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them

Sum of parallel sides = 25 yd + (3 + 12) = 40 yd

Distance between them = 12 yd

⇒ Total area = 1/2 × 40 × 12 = 240 yd²

• Step 2: Find the area of the lap pool.

Area = length × width = 12 × 3 = 36 yd²

• Step 3: Find the area of the shaded region

Area to be covered with grass = 240 - 36 = 204 yd²

Answer 2

Answer:

204 square yards

Step-by-step explanation:

We need to find the area of the whole trapezoid and then subtract the area of the rectangle from that.

The area of a trapezoid is denoted by: $A=\frac{(b_1+b_2)*h}{2}$, where b1 and b2 are the bases and h is the height. Here, the bases are 25 and 12 + 3 = 15, while the height is 12. So plug these values in:

$A=\frac{(b_1+b_2)*h}{2}$

$A=\frac{(25+15)*12}{2}=240$ square yards

The area of a rectangle is A = lw, where l is the length and w is the width. Here the length is 12 and the width is 3, so the area is 12 * 3 = 36 square yards. Subtract this from the total 240:

240 - 36 = 204

The area of the shaded region is 204 yd squared.