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