The perimeter of a rectangle is 56 inches. The ratio of the length to the width is 6:1. Find the length and width of the rectangle.
Answer (3)
The rectangle has a length of 24 inches and a width of 4 inches, discovered by solving a set of equations derived from the given perimeter and length to width ratio. ;
lets use width=w and length=l we know that 2w+2l = 56, and that 6l=1w since the second equation is already solved for w, we can plug that into the first equation, giving 2(6l)+2l=56. solving for l will give us 12l+2l=56 => 14l=56 => l=56/14=4 with l=4, we can find the width using the second equation. 6(4)=w w=24 Final answer: The length is 4 inches and the width is 24 inches. Hope I helped :)
The length of the rectangle is 24 inches and the width is 4 inches. We found these dimensions by using the perimeter formula and the ratio of length to width. The perimeter was set to 56 inches, leading us to calculate the values step by step.
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