A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet. The width of the banner is 14 the length of the banner. What are the dimensions of the banner?

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puhnut1m · Accepted Answer

Step 1First, we will choose two numbers that have a product of 144 because it&#039;s the area of the banner, where the width of the banner is 14 the length of the banner.Guess: 6 feet width and 24 feet length.Then, we will check those numbers. Is the width of the banner 14 the length of the banner?14×24=14×241=1×244×1=244=6So, our guess is correct.The dimensions of the banner are 6 feet and 24 feet.

sukljama2 · Accepted Answer

Width is 6; Length is 24 Explanation: Key points: Rectangle shape Area⇒144ft2 Width =lenght4 Let the area be A=144 Let the width be W Let the length be L Known: A=W×L=144 (1) Given: W=L4 (2) To determine the value of L Substitute (2) into (1) giving L4×L=144 ⇒L24=144 Multiply both sides by 4 44×L2=144×4 L2=576 Taking the square root of each side L=576=24 To determine the value of W W×L=144 But L=24 so we have 24W=144 Divide both sides by 24 2424×W=14424 W=6

nick1337 · Accepted Answer

Since the banner is in the shape of a rectangle, and we are asked to find the area of the banner, we are therefore asked to find the area of the rectangle. The formula for an area of that shape is length multiplied by its width. A=144=L⋅W 144=L⋅W The question doesn&#039;t specify what the length and width are. However, it does say that the width is 14 of the length, which means the length is 4 times larger than the width. Let&#039;s say the width was &quot;x&quot;. If the length is 4 times larger than the width, then we can multiply the width, x, by 4. This will give length L=4⋅x=4x Now we have values for both length and width: L=4x and W=x Recall that the area of the rectangle is length times width, which means A=4x⋅x=4x2 But wait a minute, we already know what area is. It&#039;s 144. 144=4x2 Simplify for x. 1444=4x24 36=x2 x=6 Width =x=6 ft. Length =4x=4(6)=24ft

A small plane is flying a banner in the shape

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