5. Michael wants to place grass on the sides of his
lap pool. Find the area of the shaded regions that
he wants to cover with grass.
25 yd
12 yd
3 yd
12 yd

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

Step-by-step explanation:

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

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

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

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: , 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:

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.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.