Question

A rectangle is twice as long as it is wide and its perimeter is 432cm

a) work out the dimensions of the rectangle.
b) work out the area of the rectangle.​

Answer 1

Answer:-

Let

• Width of rectangle=x
• Length of rectangle=2x
• Perimeter=432cm

We know that in a rectangle

☆ Perimeter=2(Length+Breadth)

`\\ \sf\longmapsto 2(x+2x)=432`

`\\ \sf\longmapsto 2x+4x=432`

`\\ \sf\longmapsto 6x=432`

`\\ \sf\longmapsto x=(432)/(6)`

`\\ \sf\longmapsto x=72`

`\\ \sf\longmapsto 2x=2(72)=144`

• Length=144cm
• Breadth=72cm

☆Area=Length×Breadth

`\\ \sf\longmapsto Area=144* 72`

`\\ \sf\longmapsto Area=10368cm^2`