Question

Peggy designed a pond for her backyard. She'll surround

a square patio area with a round pond. Her design and
the scale she'll use to build the design are both shown
below.
It will cost $6 per square foot to dig out the pond portion
of the yard and $1.75 per square foot to build the patio
area.
Approximately how much will she spend constructing the
pond and patio in her backyard?
Scale
1 cm = 5 ft.
A $551.80
B $1,459
C
$2.575
2 cm
2 cm
Patio
4 cm
Pond
***||| theres another answer which is D. 7,111” but it got cutt off lol|||***

Answer 1

Answer:Peggy will spend approximately $363.52 constructing the pond and patio in her backyard. The correct answer is not provided among the options given (A, B, C).

Explanation:

To calculate the cost of constructing the pond and patio in Peggy's backyard, we need to determine the areas of the pond and patio and then multiply them by their respective costs per square foot.

From the given scale, we can convert the dimensions of the pond and patio from centimeters to feet. According to the scale, 1 cm represents 5 ft.

Patio dimensions:

Width: 2 cm (2 cm * 5 ft/cm = 10 ft)

Length: 2 cm (2 cm * 5 ft/cm = 10 ft)

Area of patio = Width * Length = 10 ft * 10 ft = 100 ft²

Pond dimensions:

Width: 4 cm (4 cm * 5 ft/cm = 20 ft)

Length: 4 cm (4 cm * 5 ft/cm = 20 ft)

Area of pond = π * (Width/2)² = π * (20 ft/2)² = π * 10 ft² ≈ 31.42 ft²

Cost calculation:

Cost of pond = Area of pond * Cost per square foot = 31.42 ft² * $6/ft² = $188.52

Cost of patio = Area of patio * Cost per square foot = 100 ft² * $1.75/ft² = $175.00

Total cost = Cost of pond + Cost of patio = $188.52 + $175.00 = $363.52