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The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what are its dimensions?

Select one:

A. Length = 23.8 cm; Width = 15.7 cm
B. Length = 39.4 cm; Width = 15.7 cm
C. Length = 39.4 cm; Width = 7.9 cm
D. Length = 7.9 cm; Width = 39.4 cm

Answer :

Yea it’s c I agree with first answer

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Rewritten by : Jeany

Answer:

C, Length = 39.4 cm; width = 7.9 cm

Step-by-step explanation:

The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)

The length is 4 times w plus 7.8.

So: 2w+2(4w+7.8)=94.6

= 2w+8w+15.6=94.6 (Factor out the brackets)

= 10w+15.6=94.6 (Combine like terms)

= 10w=79 (Subtract 15.6 from both sides)

= w=7.9 (Divide both by 10).

So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)