Question

A rectangle garden has a total area of 48 square yards..draw and label two possible rectangular gardens with different side lengths that have the same area

Answer 1

Two possible rectangular gardens with the same area of 48 square yards could be 6 yards by 8 yards or 4 yards by 12 yards, as both of these combinations of side lengths result in an area of 48 square yards.

Step-by-step explanation:

To illustrate two possible rectangular gardens with the same area but different side lengths, we need to consider that the area of a rectangle is calculated by multiplying its length by its width. Given the area is 48 square yards, we can choose different combinations of length and width that when multiplied together equal 48.

For the first rectangle, let's choose a length of 6 yards. To find the corresponding width, we divide the total area by the length: 48 square yards ÷ 6 yards = 8 yards. Therefore, one possible garden could be 6 yards by 8 yards.

For the second rectangle, we could choose a length of 4 yards. Again, we divide the total area by the new length to find the width: 48 square yards ÷ 4 yards = 12 yards.

So, another possible garden could have dimensions of 4 yards by 12 yards.

Both of these gardens have an area of 48 square yards but have different side lengths. This exemplifies that multiple combinations of lengths and widths can result in the same area for a rectangle.

Answer 2

Answer: The figures are attached.

Step-by-step explanation: Given that there is a rectangular garden of area 48 square yards. We need to draw an label two possible rectangular gardens with different side lengths having the same area.

In the attached figure (a), we draw rectangular garden ABCD, where length is 8 yards and breadth is 6 yards, so that area is 48 sq. yards.

In the attached figure (b), we draw rectangular garden EFGH, where length is 12 yards and breadth is 4 yards, so that area is 48 sq. yards.

Thus, the possible rectangles are of dimensions 8 × 6 sq yards and 12 × 4 sq. yards.