Question

The length of a rectangle is \[7x\] and its breadth is \[5x\], find the ratio of
A) Length to breadth
B) Breadth to length
C) Length to perimeter
D) Breadth to perimeter

Answer 1

Hint: Here we will write the ratio in fraction form. We will calculate the perimeter of the rectangle by $2(l + b)$.

Complete step-by-step solution:

 Given: Length of rectangle = \[7x\] and breadth is \[5x\]
>Ratio of length to breadth = $\dfrac{{7x}}{{5x}}$or, we can reduce x and ratio will be \[7:5\]

>Ratio of breadth to length = $\dfrac{{5x}}{{7x}}$ or, we can reduce x and ratio will be \[5:7\]

>Perimeter of rectangle = $2(l + b)$= $2(7x + 5x) = 2(12x) = 24x$

>Now ratio of length to perimeter = $\dfrac{{7x}}{{24x}}$ or, we can reduce x and ratio will be \[7:24\]

>Ratio of breadth to perimeter = \[\dfrac{{5x}}{{24x}}\] or, we can reduce x and ratio will be \[5:24\]

Note:We should always write ratio in the form \[p:q\] where \[p\] is numerator and \[q\] is denominator also \[p\] will come before to and \[q\] will come after to in the statement. Like ratio of p to q will be \[p:q\].