Question

Tom planted 1/2 of an 8-ft by 9-ft garden with vegetables. He planted tomatoes in 1/3 of the vegetable garden and corn in the rest . What is the area planted in corn

Answer 1

Corn was planted in 24 sq.ft. of the vegetable garden.

Explanation:

Length of garden = 9 ft

width of garden = 8 ft

Hence we will first find the total area of garden.

Total area of garden = length × width =
`8 * 9 = 72ft^2`

He planted 1/2 of the garden with vegetables.

Hence.

Area of Vegetables garden =
`(1)/(2)* \textrm{Total Area of Garden} = (1)/(2)* 72 = 36ft^2`

He planted tomatoes in 1/3 of the vegetable garden and corn in the rest

Area in which tomatoes was planted =
`(1)/(3)* \textrm{Area of Vegetables Garden} = (1)/(3)* 36 = 12ft^2`

Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted =
`36ft^2-12ft^2=24ft^2`

Hence Area of vegetable garden in which corn was planted is 24 sq.ft.