Rectangle

The length of the rectangle are in the ratio 5:12 and the circumference is 238 cm. Calculate the length of the diagonal and area of rectangle.

Correct answer:

u =  91 cm
S =  2940 cm²

Step-by-step explanation:

$$\begin{gathered} o=238\text{ cm } \\ s=a+b=o\mathrm{/}2 \\ s=o\mathrm{/}2=238\mathrm{/}2=119\text{ cm } \\ a=s\cdot {\displaystyle \frac{5}{5+12}}=119\cdot {\displaystyle \frac{5}{5+12}}=35\text{ cm } \\ b=s\cdot {\displaystyle \frac{12}{5+12}}=119\cdot {\displaystyle \frac{12}{5+12}}=84\text{ cm } \\ u=\sqrt{a^2+b^2}=\sqrt{35^2+84^2}=91\text{ cm} \end{gathered}$$

$S=a\cdot b=35\cdot 84=2940{\text{cm}}^2$

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