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)

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

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

$\\ \sf\longmapsto 6x=432$

$\\ \sf\longmapsto x=\dfrac{432}{6}$

$\\ \sf\longmapsto x=72$

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

• Length=144cm
• Breadth=72cm

☆Area=Length×Breadth

$\\ \sf\longmapsto Area=144\times 72$

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