Mathematics, 07.12.2019 00:31 wendymtz2004
If the perimeter of square region s and the perimeter of rectangular region r are equal and the sides of r are in the ratio 2: 3 then the ratio of the area of r to the area of s
a. 25: 16
b. 24: 25
c. 5: 6
d. 4: 5
e. 4: 9
Answers: 1
![\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.](/tpl/images/0407/1983/75bd2.png)
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