Question

The plans for constructing a raised vegetable garden use corrugated

metal in a wooden frame. The finished garden is 4 feet long, 30 inches wide, and
32 inches tall.
The metal is only used on the lateral faces, so how many square feet of metal
should be purchased? Round to the nearest square foot

Answer 1

35 square feet of metal should be purchased

Explanation:

• The rule of the lateral area is L.A = perimeter of the base × height

• 1 foot = 12 inches

Let us use the fact above to solve the question

∵ The garden is 4 feet long

∵ Its wide is 30 inches

→ Change it to feet by divide it by 12

∴ Its wide = 30 ÷ 12

∴ Its wide = 2.5 feet

∵ It is 32 inches tall

→ Change it to feet by divide it by 12

∴ Its tall = 32 ÷ 12

∴ Its tall = 8/3 feet

∵ The perimeter of the rectangle = 2(length + width)

∵ Length = 4 feet and wedth = 2.5 feet

∴ The perimeter of the base = 2(4 + 2.5)

∴ The perimeter of the base = 13 feet

→ Substitute it in the rule above

∴ L.A = 13 × h

∵ The height = 8/3 feet

∴ L.A = 13 × 8/3

∴ L.A = 34.666667 feet²

→ Round it to the nearest square foot

∴ L.A = 35 feet²

∴ 35 square feet of metal should be purchased