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The length of a rectangle is twice its width. If its perimeter is 54 cm, find its length.
a. 18 cm
b. 10 cm
c. 19 cm
d. 15 cm


Sagot :

The length of a rectangle is found to be 18 cm.

An enclosed 2-D shape plane called a rectangle has four sides, four corners, and four right angles (90°). It has equal and parallel opposite sides. Because a rectangle is a two-dimensional form, it has length and width as its two dimensions. The length of a rectangle is considered as its longer side; its breadth is considered as its shorter side.

The perimeter of the rectangle is given as 54 cm. Let's consider the length of the rectangle as x and the width as y.

The formula to calculate the perimeter is 2(x+y).

The length is given as 2y.

Then, the perimeter is,

[tex]\begin{aligned}\text{Perimeter}&=2(2y+y)\\&=4y+2y\\&=6y\\54&=6y\\y&=\frac{54}{6}\\&=9\end{aligned}[/tex]

Then, the length is 2y=2×9=18.

The answer is 18 cm. Therefore, the correct option is option a.

To know more about rectangles:

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