If the area of the frame was 64 inches², what would be 2 possible sets of dimensions that could be used to make a frame with that area? set 1: set 2: show your work/explain your thinking:

 The answer is (16 × 4 and 15 × 3)  and  (8 × 8 and 7 × 7).

Step-by-step explanation:  Given that the area of the frame was 64 sq. inches. We need to find the two possible sets of dimensions that we can use to make the frame with such area.

Since the outer lining of the frame is 1 inch larger than the inner lining, so the length and breadth of the outer lining will be length and breadth of the inner lining plus one.

Given area of the frame is 64 sq. inches, so the possible sets of dimensions that we can use are given by

(a) Outer 16 × 4 and inner 15 × 3,

(b) Outer 8 × 8 and inner 7 × 7.

the correct answer is c

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step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.