# The lengths of the diagonals of a rectangle are represented by 8x + 3 feet and 4x + 7 feet. Find the length of each diagonal.

Question
The lengths of the diagonals of a rectangle are represented by 8x + 3 feet and 4x + 7 feet. Find the length of each diagonal.

2021-03-03
The diagonals of a rectangle are congruent so we can set the expressions equal to each other and solve for x: 8x+3=4x+7 8x=4x+4 4x=4 x=1 Using either expression, each diagonal measures 8(1)+3=11 feet.

### Relevant Questions

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$$\displaystyle{f{{\left({x}\right)}}}={\left({8}{x}-{1}\right)}{\left({x}^{{{2}}}+{4}{x}+{7}\right)}{\left({x}^{{{3}}}-{5}\right)}$$
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