Answer:
see explanation
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in
perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in
Equating the two gives
10x - 6 = 24 ( add 6 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Thus
length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in
Width of rectangle B = x = 3 in
