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Westkost [7]
3 years ago
13

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

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

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

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