# A kite in the shape of a rhombus has diagonals

A kite in the shape of a rhombus has diagonals that are 25 inches long and 15 inches long. What is the area of the kite?

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Bentley Leach

The area of a rhombus or kite with diagonals d1 and d2 is given by: $$\displaystyle{A}={\left(\frac{{1}}{{2}}\right)}{d}_{1}{d}_{2}$$
Substitute $$d_1=25d$$ inches and $$d_2=15$$ inches: $$\displaystyle{A}={\left(\frac{{1}}{{2}}\right)}{\left({25}\right)}{\left({15}\right)}$$
$$\displaystyle{A}={\left(\frac{{1}}{{2}}\right)}{\left({375}\right)}$$
$$\displaystyle{A}={187.5}\ in^{{2}}$$