SOLUTION: 1.a rectangle is 7 cm wide, and the length of each diagonal is 25 cm. Find the length of the rectangle and its area.

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Question 763998: 1.a rectangle is 7 cm wide, and the length of each diagonal is 25 cm. Find the length of the rectangle and its area.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
RECTANGLE ------- a side and the diagonal are part of a right triangle and the other side length is the other leg of the triangle. Letting s = that other side length,
s%5E2%2B7%5E2=25%5E2
s%5E2=25%5E2-7%5E2
highlight%28s=sqrt%2825%5E2-7%5E2%29%29, which is the length of the rectangle.

A little computation on s shows s=sqrt%28576%29=sqrt%289%2A64%29=24
highlight%28s=24%29