Question

The length of the rectangle is greater than its breadth by 4 cm and its perimeter is 20 cm then the length and breadth of the rectangle

Answer 1

Answer:

Perimeter given = 20 cm

Breadth Given = 4 cm

Length given = let’s consider it as variable x

2( length + breadth ) = perimeter of rectangle

2( x + 4 ) = 20 cm

2x + 8. = 20 cm

2x = 20 - 8 (transposition)

2x = 12 cm

2x/2 = 12/2

x = 6 cm (breadth)

Therefore length = 4cm and breadth = 6 cm

Hence area of rectangle = length x breadth

(A) = 4 x 6

(A) = 24 cm

Therefore breadth = 6cm; Area = 24 cm

Step-by-step explanation:

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Answer 2

Answer:

Given:

The length of a rectangle is 4cm more than its Breadth. The breadth of a rectangle is z &the perimeter is 20cm.

To find:

Find the length & breadth of the rectangle.

Solution:

Let the breadth of the rectangle be z. Let the length of ths rectangle be z+4cm.

Perimeter= 20cm

According to the question:

We know that perimeter of rectangle;

=) 2(length+breadth)

=) 2(z+4 + z)= 20

=) 2(22+4)= 20

=) 4z +8 = 20

=) 4z = 20 -8

=) 4z = 12

=) z= 12/4

=) z= 3

Thus,

Breadth of rectangle, z= 3cm Length of rectangle, z+4= 3+4 = 7cm.