Question

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?

Answer 1

First find length of smaller rectangle

`\\ \sf\longmapsto L4=32`

`\\ \sf\longmapsto L=32/4=8in`

Now the ration will be same

`\\ \sf\longmapsto (32)/(8)=(288)/(x)`

`\\ \sf\longmapsto 4x=288`

`\\ \sf\longmapsto x=(288)/(4)`

`\\ \sf\longmapsto 72in`

The longer side of larger rectangle measures 72in