a rectangle has the area equal to that of a square of side 80 CM if the breadth of the rectangle is 200 cm find its length
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Answer: the answer is 8
Explanation: Side of sq= 80cm
Area of the sq.= s×s
80×80=1600cm.sq
Atq, area of sq= area of rect.
1600=200×b
1600 divided by 200= b
8cm= b
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Given :-
- Area of a square = Area of a rectangle
- Side of square = 80cm
- Breadth of rectangle = 200cm
To Find:-
- Length of the rectangle = ?
Solution:-
First of all, we'll find the area of square as we know dimensions.
Area of square = (side)²
Area of square = (80)²
Area of square = 6400 cm²
Now,
Area of rectangle = length×breadth
Since, area of square = area of rectangle.........{Given}
So,
length × breadth = 6400 cm²
length × 200 cm = 6400 cm²
length = 6400/200
length = 64/2
length = 32 cm
Hence, Length of the given triangle is 32 cm.
Verification :-
Area of rectangle = 6400 cm²
Area of rectangle = length × breadth
Plug the values,
6400 = 32 × 200
6400 = 6400
LHS = RHS.
Hence verified.
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