Question

the width of a rectangle is 6x + 8, and the length of the rectangle is 12x + 16. determine the ratio of the width to the premiter.​

Answer 1

Answer:

1:6

Step-by-step explanation:

Answer 2

Answer:

The ratio of the width to the premiter is $\frac{1}{6}\end{aligned}$

Explanation:

Step : 1 An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

$width }=6 x+8 \text {, length }=12 x+16 \\& \text { perimeter }=2 l+2 w\end{aligned}$

Step : 2 The formula for calculating the area, "A," of a rectangle whose length and breadth are "l" and "w," respectively, is "A =l × w." P = 2(l + w) is the formula for a rectangle's perimeter, "P," whose length and breadth are "l" and "w," respectively.

$\begin{aligned}& =2(12 x+16)+2(6 x+8) \\& =24 x+32+12 x+16=36 x+48\end{aligned}$

Step : 3 A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are several use cases for perimeter calculation.

$\begin{aligned}\text { Ratio } & =\frac{w}{p}=\frac{6 x+8}{36 x+48}=\frac{2(3 x+4)}{12(3 x+4)} \\& =\frac{2}{12}=\frac{1}{6}\end{aligned}$

Hence, the correct answer is $\frac{1}{6}\end{aligned}$.

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