Finding Length and Width Word Problems

Sally is creating a rectangular quilt and the length is equal to five inches less than the width. The perimeter is 30 inches.
What two equations can we use to find the answer? 

• P = 2l + 2w  and l = 5 - w
• P = 2l + 2w  and l = -5+ w
• P = length*width  and l = 5 - w
• P = 2l + 2w  and l < 5w

Sally is creating a rectangular quilt and thelength is equal to five inches less than the width. The perimeter is 30 inches. What are the dimensions of the quilt?

• width = 10 and length = 5
• Width = 5 and length = 10
• Width = 5 and length = 30
• Width = 30 and length = 5

Maria called her sister long distance on Wednesday. The first 5 minutes cost $3, and each minute after that cost$0.25.
What equations can you use to find the cost for calls longer than 5 minutes?

• 5+3x+.25x = cost
• ^{cost = 5 + 3x}
• cost = 3+ .25(x - 5)
• cost = 3 + .25x

Maria called her sister long distance on Wednesday. The first 5 minutes cost $3, and each minute after that cost$0.25.
How much did it cost if they talked 15 minutes?

• $9.00
• $5.50
• $3.25
• $6.75

Ben fenced his backyard using 350 feet of fencing. The width of his yard is 12 feet less than twice the length. Which equationscan be used to determine the dimensions of his yard?

• 350 = 2l+2w and w = 12 -2w
• 350 = 2l+2w and w = 12  < 2w
• 350 = 2l+2w and w = 2w - 12
• 350 = 2l+2w and w =  2w<12

Ben fenced his backyard using 350 feet of fencing.
The width of his yard is 12 feet less than twice the length.
Which equation can be used to determine the dimensions of his yard after you use substitution?

• x(2x - 12) = 350
• 2x + 700 = x
• x + (2x - 12) = 350
• 2x + (2x - 12) = 350

Joe sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Joe made $20 at the bake sale. How many cookies did Joe sell?

• 8
• 4
• 5
• 6