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# The given figure shows a small garden. The shaded area is reserved for planting flowers and the rest of the area is for grass, find the ratio of the area of the garden reserved for planting flowers to the area reserved for grass.

Last updated date: 20th Jun 2024
Total views: 413.1k
Views today: 5.13k
Verified
413.1k+ views
Hint: First we’ll find the total area and the area reserved for flowers, then their difference will be the area reserved for grass.
After finding the area reserved for grass and flowers, we’ll find it’s ratio to get the required answer.

Dimension of area for flowers is (12-4)m by 3m i.e. 8m by 3m
The dimension of total area is 12m by 5m
We know that,
$Area{\text{ }}of{\text{ }}rectangle = \left( {length} \right)\left( {breadth} \right)$
Therefore, the area of the garden reserved for flowers= $8m \times 3m$
$= 24{m^2}$
$Total{\text{ }}area =$$12m \times 5m$
$= 60{m^2}$
From the given figure we can say that the area reserved for grass is equal to the difference of the total area and the area that is reserved for flowers
$Area{\text{ }}reserved{\text{ }}for{\text{ }}grass =$$60{m^2} - 24{m^2}$
$= 36{m^2}$
Therefore the ratio of the area of the garden reserved for planting flowers to the area reserved for grass is $\dfrac{{24}}{{36}}$
$= \dfrac{2}{3}$
Therefore, the required ratio is 2:3.
Note: Ratio is always taken of the quantity having similar units, that is why a ratio is always a unitless quality.
In this question also we’re asked the ratio of areas of two different places, since the area’s unit will remain the same and the ratio will come out to be a unitless value.
The text passage contains a mathematical question about finding the ratio of areas in a garden, and it provides a detailed solution to the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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# The given figure shows a small garden. The shaded area is reserved for planting flowers and the rest of the area is for grass, find the ratio of the area of the garden reserved for planting flowers to the area reserved for grass.

Last updated date: 20th Jun 2024
Total views: 413.1k
Views today: 5.13k
Verified
413.1k+ views
Hint: First we’ll find the total area and the area reserved for flowers, then their difference will be the area reserved for grass.
After finding the area reserved for grass and flowers, we’ll find it’s ratio to get the required answer.

Dimension of area for flowers is (12-4)m by 3m i.e. 8m by 3m
The dimension of total area is 12m by 5m
We know that,
$Area{\text{ }}of{\text{ }}rectangle = \left( {length} \right)\left( {breadth} \right)$
Therefore, the area of the garden reserved for flowers= $8m \times 3m$
$= 24{m^2}$
$Total{\text{ }}area =$$12m \times 5m$
$= 60{m^2}$
From the given figure we can say that the area reserved for grass is equal to the difference of the total area and the area that is reserved for flowers
$Area{\text{ }}reserved{\text{ }}for{\text{ }}grass =$$60{m^2} - 24{m^2}$
$= 36{m^2}$
Therefore the ratio of the area of the garden reserved for planting flowers to the area reserved for grass is $\dfrac{{24}}{{36}}$
$= \dfrac{2}{3}$
Therefore, the required ratio is 2:3.
Note: Ratio is always taken of the quantity having similar units, that is why a ratio is always a unitless quality.
In this question also we’re asked the ratio of areas of two different places, since the area’s unit will remain the same and the ratio will come out to be a unitless value.
user
The text passage contains a mathematical question about finding the ratio of areas in a garden, and it provides a detailed solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER