Question

A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?

Answer 1

Dimension = 6 feet × 3 feet

Explanation:

From the question given above, the following data were obtained:

Length (L) = 6 feet

Distance around the fence (Perimeter) = 18 feet

Dimension of the fence =?

Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:

Length (L) = 6 feet

Perimeter (P) = 18 feet

Breadth (B) =?

Perimeter of rectangle is given by:

P = 2(L + B)

18 = 2 (6 + B)

Clear the bracket

18 = 12 + 2B

Collect like terms

18 – 12 = 2B

6 = 2B

Divide both side by 2

B = 6/2

B = 3

Thus, the breadth of the rectangular fence is 3 feet

Dimension of the rectangular fence is given by:

Dimension = length × Breadth

Length (L) = 6 feet

Breadth (B) = 3 feet

Dimension = 6 feet × 3 feet