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Using Factoring to Solve Problems

Review

Solve the following application problems:

  1. One leg of a right triangle is 1 feet longer than the other leg. The hypotenuse is 5. Find the dimensions of the right triangle.

  2. One leg of a right triangle is 7 feet longer than the other leg. The hypotenuse is 13. Find the dimensions of the right triangle.

  1. The product of two positive numbers is 120. Find the two numbers if one numbers is 7 more than the other.

  2. A rectangle has a 50-foot diagonal. What are the dimensions of the rectangle if it is 34 feet longer than it is wide?

  3. Two positive numbers have a sum of 8, and their product is equal to the larger number plus 10. What are the numbers?
  1. Framing Warehouse offers a picture framing service. The cost for framing a picture is made up of two parts: glass costs $1 per square foot and the frame costs $2 per foot. If the frame has to be a square, what size picture can you get framed for $20?