High School

A picture frame is shaped like a rectangle with a perimeter of 120 cm. The length is 2 times the width.

Find the length and the width.

Answer :

The width of the rectangle is 20 cm and the length is 40 cm as the length is twice the width and the total perimeter of rectangle is 120 cm

The subject of this question is Mathematics, specifically related to perimeter and geometric shapes. A rectangle's perimeter is calculated by adding the lengths of all four sides. In this case, the problem states that the perimeter is 120 cm and that the length (L) is 2 times the width (W). Since a rectangle has two equal lengths and widths, we can express the perimeter (P) as 2L + 2W. However, because L = 2W, we can substitute and get the equation:

P = 2(2W) + 2W or P = 6W

since perimeter is equal to 120 cm, then W (width) is 120/6 = 20 cm and L (length), which is 2W,

hence L = 2×20

= 40 cm.

So, the width of the rectangle is 20 cm, and the length is 40 cm.

In conclusion, understanding how to use formulas to solve mathematical problems is crucial. In this case, the terms such as perimeter, length, and width were defined, and mathematical relationships were explored to find an answer.

To learn more about total perimeter visit:

brainly.com/question/29364161

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