The area of a rectangle is 98 cm' and its length is 56 mm. Find its breadth and perimeter.
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Answer:
area = 98 cm²
length = 56 mm = 5.6cm
area = length × breadth
98 = 5.6 × breadth
breadth = 17.5 cm
Explanation:
perimeter = 2(length + breadth)
= 2( 5.6 + 17.5 )
= 2 × 23.1
= 46.2 cm
Answered by
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GIVEN :-
- Area of the rectangle = 98 cm²
- Length of the rectangle = 56 mm
TO FIND :-
- Breadth of the rectangle.
- Perimeter of the rectangle.
ANSWER :-
[ First of all we need to convert 56 mm into cm ]
∴ Length of the rectangle ( in cm ) = 56 / 10
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 5.6 cm
Now , Let the breadth of the rectangle be x cm.
Area of the rectangle = l × b
⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀98⠀= 5.6 × x
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = 98 / 5.6
⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀x = 17.5 cm ✔️
Also , Perimeter = 2 ( l + b )
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 2 ( 17.5 + 5.6 )
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ = 2 ( 23.1 )
⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ = 46.1 cm ✔️
Hence , Perimeter of rectangle = 46.1 cm
⠀⠀⠀⠀⠀ Breadth of rectangle = 17.5 cm
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