Five rectangles are arranged from the least to the greatest area and named a, b, c, d, and e in order of increasing area. all dimensions are whole numbers, and no 2 rectangles have the same area. determine the dimensions of all 5 rectangles using the following clues: the median area is 15 square units. rectangles b and d are squares. rectangles c and d have the same perimeter. rectangles a, b, and c have the same length. rectangles d and e have the same length. rectangles c and e have the same width.

Given that median area is 15 square units.

Hence rectangle C in the middle has 15 square units.

Its dimensions can be width= 5 and length = 3

SInce B is smaller than C and has the same length, B has lengh of 3 with area = 9 sq units.

D has the same perimeter = 16 units.  Since D is a square, side of D = 4 units.

Now D and E have the same length.  Hence length of E = 4 units.

Width of E = width of C = 5 units.Thus makes the area of E as 20 sq units.

Rectangle A has length =3 and width can be less than 3 since area is smaller than B.

so A has length= 3 width = 2 with area = 6 sq units.

the correct answer is 5 6 and 7