Question

the length and breadth of a rectangle are in ratio 3 : 2 . if its perimeter is 1m 40 cm find its dimensions

Answer 1

Answer:

The perimeter of the rectangle = 140 cm.

Sum of adjacent sides = 140/2 = 70 cm.

Length of rectangle = 3x.

Breadth of rectangle = 2x.

5x=70

x=14.

Length of rectangle= 14*3 = 42 cm.

Breadth of rectangle = 14*2 = 28 cm

Answer 2

Answer: Length = 3 x 14 = 42 cm and it's breath = 2 x 14 = 28 cm.

Given:

• Length and breadth of a rectangle are in ratio 3 : 2.
• Perimeter is 1 m 40 cm.

To Find: Dimensions of rectangle.

Step-by-step explanation:

Step 1: A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It may alternatively be described as a parallelogram with a right angle, an equiangular quadrilateral (equiangular meaning all angles are equal; 360°/4 = 90°), or a quadrilateral with equal angles. A square is an irregular shape with four equal sides. An irregular rectangle is sometimes referred to as being "oblong." The symbol for a rectangle with the vertices ABCD is ABCD.

Step 2: As we know that the length and width of a rectangle is in ratio of 3 : 2.  

Let the length is 3x and width is 2x.

1 m = 100 cm

1 m 40 cm = 100 cm + 40 cm = 140 cm

Perimeter = 2(3x + 2x) = 10x

As we know that perimeter = 140 cm, thus

10x = 140

x = 14 cm

Thus, it's length = 3 x 14 = 42 cm and it's breath = 2 x 14 = 28 cm.

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