Evan is making shelves out of the 12 ft section of wood in his garage. His shelves need to be 1.6 ft long. How many shelves can
1 answer:
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Answer:
7 feet and 24 feet
Step-by-step explanation:
In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.
Let x feet and y feet be the lengths of triangle's legs.
By the Pythagorean theorem,
The area of the right triangle is half the product of its legs, thus
Solve the system of two equations:
From the second equation:
Substitute it into the first equation:
The length of the leg cannot be negative, so