Question

Plan A- Deck measures 18 feet by 25 feet.Gardeb measures 9 feet by 12 feet.Plan B - Deck measure 16 feet by 20 feet.Garden has a rudius of 5 feet1- what is the area of the garden in plan A? Plan B? 2-What is the area of the deck,not including the garden, in plan A3.If it costs $4.20 per square foot to install the deck, what is the cost for plan A? Plan B 4. If it costs $1.40 per square foot to install the garden,what is the cost for plan A? Plan B5.Which plan is less expensive?By how Much?

Answer 1

Number 1

Area in the garden in plan A = Length x breadth = 12 ft x 9 ft = 108 ft^2

For garden in plan B, area = pie x r x r = 3.14 x 5 x 5 = 78.5 ft^2

Number 2

The area of the deck, not including the garden, in plan A is given as

Area of the whole Deck minus Area of the garden

= (18 ft x 25 ft) - 108 ft^2

=450 ft^2 - 108 ft^2

= 342 ft^2

The area of the deck, not including the garden, in plan B is given as

Area of the whole Deck minus Area of the garden

= (16 ft x 20 ft) - 78.5 ft^2

= 320ft^2 - 78.5 ft^2

=241.5 ft^2

Number 3

The cost for installing the deck in plan A = 4.20 x 342 = $1436.40

The cost for installing the deck in plan B = 4.20 x 241.5= $1014.30

Number 4

The cost for installing the garden in plan A = 1.40 x 108 = $151.20

The cost for installing the garden in plan B = 1.40 x 78.5 = $109.90

Number 5

Total cost of deck and garden for plan A = $1436.40 + $151.20 = $1587.6

Total cost of deck and garden for plan B = $1014.30 + $109.90 = $1124.20

Difference in cost between both plans = $1587.6 - $1124.2 = $463.4

By comparing the cost of both plans, we realized the cost of plan B is cheaper than the cost of plan A, therefore, Plan B is less expensive by $ 463.4