Respuesta :

Add the length and width of rectangle A and set equal to the sum of the length and width of rectangle B.
Then solve for d.
Once you know d, substitute it in each length and width to find the actual lengths and widths.

0.7d + 1 + 1.5d - 2 = 2.5 + d + 4 - 1.3d

2.2d - 1 = -0.3d + 6.5

2.5d = 7.5

d = 3

Rectangle A:
Length: 0.7d + 1 = 0.7(3) + 1 = 2.1 + 1 = 3.1
Width: 1.5d - 2 = 1.5(3) - 2 = 4.5 - 2 = 2.5

Rectangle B:
Length: 2.5 + d = 2.5 + 3 = 5.5
Width: 4 - 1.3d = 4 - 1.3(3) = 4 - 3.9 = 0.1