area of rectangular shaped field is 144cm square find the length when breadth is 16 cm
Answers
Answer :-
- The length of the rectangular shaped field is 9 cm.
Given :-
- The area of a rectangular shaped field is 144 cm².
- The breadth is 16 cm.
To find :-
- The length of the field.
Step-by-step explanation :-
Detailed explanation of the solution :-
Let's understand :-
The question has given us the area and the breadth of the rectangular shaped field. We have to find the length. Since the field is rectangular, therefore it is in the shape of a rectangle. Now, we are going to use the formula required for finding the area of a rectangle and find the answer.
Calculations :-
Area = 144 cm²
Breadth = 16 cm.
We know that :-
Area of a rectangle = Length × Breadth.
Let's assume that the length is x.
Now let's use the formula.
Substituting the values, we get :-
Thus, the length of the field = 9 cm.
-----------------------------------------------------------
Verification :-
Area of a rectangle = Length × Breadth.
We know the length and breadth.
So, let's multiply both of them (As given in the formula) and see whether we get the area (144 cm²).
16 cm × 9 cm = 144 cm².
Since we got the area,
Hence verified!
-----------------------------------------------------------
The curved surface area of a cone is πrl, where r is the radius and l is slant heightWe need to calculate slant height, it can be done by using the formula l² =r ² +h² , where h is height.
So, l=root r² + h² = root 5² + 12² = 13
We have curved surface area of a cone is πrl =π×5×13 =65π cm²
Hence, the answer is 65π cm²