The correct statement is D.
Step-by-step explanation:
Given,
For backyard
Length = 5x-2
Width = 2x+4
For house
Length = 5x-2
Width = 4x-12
For driveway
Length = x+10
Width = 4x-12
To find the correct statement.
Formula
The area of a rectangle = Length × Width
So,
The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)
= (4x-12)(5x-2+x+10)
= (4x-12)(6x+8)
=
=
So, the correct statement is D
You can cross check the other statements.
P = 2(L + W)
P = 44
L = W + 2
44 = 2(W + 2 + W)
44 = 2(2W + 2)
44 = 4W + 4
44 - 4 = 4W
40 = 4W
40/4 = W
10 = W
L = W + 2
L = 10 + 2
L = 12
A = L * W
L = 12
W = 10
A = 12 * 10
A = 120 square inches <===
1 x 48
2 x 24
3 x 16
4 x 12
6 x 8
1) the longest side is 5cm and the perimeter is 12cm
2) longest side is 12.04 or just 12
3) 241 miles apart
4) Yes it is