Diagonal 2

What is the area in square meters of a rectangular garden whose diagonal is 50m long and the width of the garden is 27m? Round the result to the nearest whole number.

Correct answer:

S =  1136 m²

Step-by-step explanation:

$$\begin{gathered} d=50\text{m} \\ a=27\text{m} \\ {a}^2+b^2=d^2 \\ b=\sqrt{d^2-a^2}=\sqrt{50^2-27^2}=\sqrt{1771}\text{m}\doteq 42.0833\text{m} \\ S=a\cdot b=27\cdot 42.0833=27\sqrt{1771}=1136{\text{m}}^2 \end{gathered}$$

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