A gardener wants to fence in her plot in two equal rectangular sections. If she has 120 yards of fence and the area of the entire plot is 384 yd 2, find the possible dimensions in yards of the garden.

Question

A gardener wants to fence in her plot in two equal rectangular sections. If she has 120 yards of fence and the area of the entire plot is 384 yd 2, find the possible dimensions in yards of the garden.

smileyxl3 · Answer

6 yards by 32 yards. The yards share a middle fence. Therefore, the actual dimensions of the yard are 12 yards by 32 yards. Draw a square with a line in the middle. The three longer lines represent 32 yards and the four smaller sections represent 6 yards each.

The total area adds to 384