maddy9withers maddy9withers
  • 12-01-2021
  • Mathematics
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7
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Here are two similar rectangles,
1 cm
2 cm
4 cm
Work out the area of the larger rectangle.

7 Overview Home Pro Question Progress Here are two similar rectangles 1 cm 2 cm 4 cm Work out the area of the larger rectangle class=

Respuesta :

erinna erinna
  • 17-01-2021

Given:

Two similar rectangles.

To find:

The area of the larger rectangle.

Solution:

Let x be the other side of the larger rectangle.

Corresponding sides of similar figures are always congruent.

[tex]\dfrac{x}{1}=\dfrac{4}{2}[/tex]

[tex]x=2[/tex]

The other side of larger rectangle is 2 cm.

We know that, area of rectangle is

[tex]Area=Length\times Width[/tex]

So, area of the larger rectangle is

[tex]Area=4\times 2[/tex]

[tex]Area=8[/tex]

Therefore, the area of the larger rectangle is 8 sq. cm.

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