Question

Help me with this problem

Answer 1

XY = 24

Explanation:

The perimeter of the rectangle is

2(5y - 1) + 2(4y + 1) = 90 ← distribute parenthesis on left side

10y - 2 + 8y + 2 = 90

18y = 90 ( divide both sides by 18 )

y = 5

XY = 5y - 1 = (5 × 5) - 1 = 25 - 1 = 24

Answer 2

XY = 74

Explanation:

Using the information given, plug it into the perimeter formula [P=2(l)+2(w)]

90 = 2 (5y - 1) + 2 (4y + 1)

Distribute

90 = 10y - 2 + 8y + 2

Combine like-terms

90 = 18y

Isolate the variable

y = 15

Then, plug it into XY

5 (15) - 1

Multiply

75 - 1

Combine

74