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The area on a wall covered by a rectangular poster is 294 square inches. The length of the poster is 1.5 times longer than the width of the poster. What are the dimensions of the poster?

User Bullets
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2 Answers

5 votes

Final answer:

The dimensions of the rectangular poster are 14 inches by 21 inches.

Step-by-step explanation:

To find the dimensions of the poster, let's assume the width of the poster is 'x' inches. According to the problem, the length of the poster is 1.5 times longer than the width. So the length of the poster would be 1.5x inches.

Now, we know that the area of a rectangle is found by multiplying its length and width. So we can set up the equation: x * (1.5x) = 294.

Simplifying the equation, we have 1.5x^2 = 294. Dividing both sides by 1.5, we get x^2 = 196. Taking the square root of both sides, we find x = 14 inches.

Therefore, the dimensions of the poster are 14 inches by 1.5 times longer, which is 21 inches.

User Peter Goldstein
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2 votes
Hey there,

Your question states: The area on a wall covered by a rectangular poster is 294 square inches. The length of the poster is 1.5 times longer than the width of the poster. What are the dimensions of the poster?


l= 16 \ x \ 1.25 = 20 in

Your correct answer would be
\boxed{20}

Hope this helps.
User Kelvin Omereshone
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6.1k points