Answer:
2 sides have length 30 inches.
2 sides have length 15 inches.
Explanation:
In a rectangle, opposite sides are congruent.
The perimeter of a rectangle is the sum of the lengths of the 4 sides.
2 sides have length of 2/3 x + 10
2 sides have length of 1/3 x + 5
perimeter = 2/3 x + 10 + 2/3 x + 10 + 1/3 x + 5 + 1/3 x + 5
perimeter = 2/3 x + 2/3 x + 1/3 x + 1/3 x + 10 + 10 + 5 + 5
perimeter = 6/3 x + 30
perimeter = 2x + 30
perimeter = 90
2x + 30 = 90
2x = 60
x = 30
Length:
2/3 x + 10 = 2/3 × 30 + 10 = 20 + 10 = 30
Width:
1/3 x + 5 = 1/3 × 30 + 5 = 10 + 5 = 15
2 sides have length 30 inches.
2 sides have length 15 inches.