The backyard if a new home is shaped like a trapezoid with a height of 46 ft and bases of 73 ft and 114 ft. what is the cost of putting sod on the gard, if the landscaper charge 23 cent per square foot for sod

$989.23

Step-by-step explanation:

The cost will be the product of the area in square feet and the cost per square foot.

The area of a trapezoid is given by the formula ...

... A = (1/2)(b1 +b2)h . . . . . where b1 and b2 are the base lengths, h is the height

Filling in the given information, the area is ...

... A = (1/2)(73 ft +114 ft)(46 ft) = 4301 ft²

Since each square foot costs $0.23, this number of square feet will cost ...

... (4301 ft²)×$0.23/ft² = $989.23

The landscaper will charge $989.23 to put sod on the backyard.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

step-by-step explanation: