Question

how do i solve this. show all steps plz. this due very soon. help asap no idea what to do. ➡️MAKE SURE TO SHOW ALL STEPS!!!⬅️

Answer 1

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