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ICE Princess25 [194]
2 years ago
12

length of a rectangle is 3 times its width.If its perimeter is 24 centimetres what is the area of the rectangle?​

Mathematics
2 answers:
fgiga [73]2 years ago
7 0

Answer:

<h3>27 cm²</h3>

Step-by-step explanation:

The length is 3 × width.

l = 3w

The perimeter is 24 centimeters.

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

3 = w

The width is 3 centimeters.

l = 3(3)

l = 9

The length is 9 centimeters.

Area is l × w.

A = l × w

A = 9 × 3

A = 27

The area is 27 squared centimeters.

natali 33 [55]2 years ago
5 0

Answer:

27

Width= x

Length= x × 3 =3x

so, 3x+3x+x+x=24

8x=24

x=24/8

x=3

so, length=3(3)=9

width=3

therefore,

Area=9×3

=27

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