A 19m long hall has a floor area of the 247m2 find its breadth and perimeter .
Answers
Step-by-step explanation:
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Given :
- Length of the floor = 19 m
- Area of the floor = 247 m²
To Find :
- Breadth of the floor.
- Perimeter of the floor.
Solution :
Analysis :
Here first we have to find the length of the floor using the area. Then after getting the breadth we can find the perimeter using suitable formula.
Required Formula :
- Area = Length × Breadth
- Perimeter = 2(Length × Breadth)
Explanation :
Let the breadth of the rectangle be “b” m.
We know that if we are given the length and area of a rectangle and is asked to find the breadth of the rectangle then our required formula is,
Area = Length × Breadth
where,
- Area = 247 m²
- Length = 19 m
- Breadth = b m
Using the required formula and substituting the required values,
⇒ Area = Length × Breadth
⇒ 247 = 19 × b
⇒ 247/19 = b
⇒ 13 = b
∴ Breadth = 13 m.
Now, as we have got the breadth we can find the perimeter of the floor.
We know that if we are given the length and breadth of a rectangle and is asked to find the perimeter of the rectangle then our required formula is,
Perimeter = 2(Length × Breadth)
where,
- Length = 19 m
- Breadth = 13 m
Using the required formula and substituting the required values,
⇒ Perimeter = 2(Length × Breadth)
⇒ Perimeter = 2(19 + 13)
⇒ Perimeter = 2(32)
⇒ Perimeter = 2 × 32
⇒ Perimeter = 64
∴ Perimeter = 64 m.