contestada

A rectangle with an area of 32in^2 has one side measuring 4in. A similar rectangle has an area of 288in^2. How long is the longer side in the larger rectangle?

Respuesta :

First find length of smaller rectangle

[tex]\\ \sf\longmapsto L4=32[/tex]

[tex]\\ \sf\longmapsto L=32/4=8in[/tex]

Now the ration will be same

[tex]\\ \sf\longmapsto \dfrac{32}{8}=\dfrac{288}{x}[/tex]

[tex]\\ \sf\longmapsto 4x=288[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{288}{4}[/tex]

[tex]\\ \sf\longmapsto 72in[/tex]

The longer side of larger rectangle measures 72in

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