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
662.1k+ views
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 \[p:q\].
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 \[p:q\].
Recently Updated Pages
What are the two major island groups in India class 9 social science CBSE

What is Jhum cultivation class 9 biology CBSE

Write an Article on Save Earth Save Life

Silk is obtained from of the silk moth APupa BLarva class 9 chemistry CBSE

Write chemical formulas of the following compounds class 9 chemistry CBSE

The Indo Gangetic Plains of India are fertile due to class 9 social science CBSE

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Name 10 Living and Non living things class 9 biology CBSE

What is the full form of pH?

On an outline map of India show its neighbouring c class 9 social science CBSE

What is pollution? How many types of pollution? Define it

