Acreage

What acreage has a rectangular plot whose diagonal is 34 meters long and one side has a length of 16 meters.

A:92m²
B:601m²
C:480m²
D:544m²

Correct answer:

S =  480 m²

Step-by-step explanation:

$$\begin{gathered} a=16\text{ m } \\ d=34\text{ m } \\ {a}^2+b^2=d^2 \\ b=\sqrt{d^2-a^2}=\sqrt{34^2-16^2}=30\text{ m } \\ S=a\cdot b=16\cdot 30=480{\text{m}}^2 \end{gathered}$$

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