
If Length is 15 cm, breadth is 8 cm. Find the perimeter of the rectangle.
Answer
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Hint: The perimeter of a rectangle is defined as the sum of all the sides of a rectangle.
Since the perimeter is equal to the sum of all the sides of the polygon. Hence, in the case of a rectangle, the perimeter (P) is;
P = sum of all its four sides
\[P = l + b + l + b\] (Opposite sides of rectangle are equal)
\[P = 2(l + b)\]
Now, substituting the values we get the required perimeter.
Complete step-by-step solution:
It is given that; lengths \[ = 15\] cm, breadth \[ = 8\] cm
We have to find the perimeter of the rectangle.
We know that, if the length and breadth of a rectangle is \[l\] and \[b\] respectively, the perimeter of the rectangle is \[2(l + b)\] cm
Substitute the values we get,
The perimeter is \[2(15 + 8)\] cm
Simplifying we get,
The perimeter is \[46\] cm.
Hence, the perimeter of the rectangle is \[46\] cm.
Note: We have to remember that, in geometry, perimeter can be defined as the path or the boundary that surrounds a shape. It can also be defined as the length of the outline of a shape.
Perimeter is the total length of the sides of a two dimensional shape.
We use a ruler to measure the length of the sides of a small regular shape. The perimeter is determined by adding the lengths of the sides/edges of the shape.
In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.
Since the perimeter is equal to the sum of all the sides of the polygon. Hence, in the case of a rectangle, the perimeter (P) is;
P = sum of all its four sides
\[P = l + b + l + b\] (Opposite sides of rectangle are equal)
\[P = 2(l + b)\]
Now, substituting the values we get the required perimeter.
Complete step-by-step solution:
It is given that; lengths \[ = 15\] cm, breadth \[ = 8\] cm
We have to find the perimeter of the rectangle.
We know that, if the length and breadth of a rectangle is \[l\] and \[b\] respectively, the perimeter of the rectangle is \[2(l + b)\] cm
Substitute the values we get,
The perimeter is \[2(15 + 8)\] cm
Simplifying we get,
The perimeter is \[46\] cm.
Hence, the perimeter of the rectangle is \[46\] cm.
Note: We have to remember that, in geometry, perimeter can be defined as the path or the boundary that surrounds a shape. It can also be defined as the length of the outline of a shape.
Perimeter is the total length of the sides of a two dimensional shape.
We use a ruler to measure the length of the sides of a small regular shape. The perimeter is determined by adding the lengths of the sides/edges of the shape.
In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.
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