Question

Ben had two copies of the same poster in different sizes. Both posters are in the shape of a square. The side length of the two posters is in the ratio of 3:7. If the perimeter of the smaller poster is 27 cm, what is the perimeter of the bigger poster?

Answer 1

Answer:

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

the question states that a person named Ben has two copies of the same poster having different sizes , provided they both are squares !

further , we've been given that the side length of the posters are in the ratio of 3:7 and the perimeter of the smaller posted is 27 cm .

We've been asked to find the perimeter of the bigger poster !

so let's start ~

$let\: the \: length \: of \: the \: smaller \: poster \: be \: 3x \\ \\ let \: the \: length \: of \: the \: bigger \: poster \: be \: 7x \\ \\ now \: , \: \\ \\ perimeter \: of \: square = 4 \times side \\ \\ \implies \: perimeter \: of \: shorter \: square = 4 \times 3x \\ \\ \implies \: 27 = 3x \\ \\ x = \cancel\frac{27}{3} \\ \\ \implies\red{\boxed{ \: x = 9 \: cm}}$

now ,

$side \: length \: of \: bigger \: square = 7x \\ \\ \implies \: 7 \times 9 = 63 \: cm \\ \\ \therefore \: perimeter \: of \: bigger \: square = 4 \times 63 \\ \\ \bold\pink{\implies \: 252 \: cm}$

hope helpful :D