Question

THE LENGTH OF A RECTANGLE IS 7 MORE THAN 4 TIMES ITS BREADTH FIND YHE DEMENSIONS OF THE RECTANGLE IF ITS PERIMETER IS 54 CM.

Answer 1

Answer:

Length=23

Breadth=4

Step-by-step explanation:

Let the breadth be x

then the length will be 4x+7

Perimeter=54

2(l+b)=54

2(x+4x+7)=54

2(5x+7)=54

10x+14=54

10x=40

x=4

Answer 2

Question :-

the length of a rectangle is 7 more than 4 times of its breadth find the dimensions of the rectangle if its perimeter is 54cm

Answer :-

let the breadth of the rectangle be x cm

then length of the rectangle is 7 + 4x cm

• l = 7 + 4x cm
• b = x cm
• perimeter = 54 cm

and we know that,

$\boxed{ \bold{perimeter \: of \: rectangle = 2(l + b)}}$

$\bold{: \implies 54 = 2(x +7 + 4x)} \\ \\ \bold{: \implies x + 7 + 4x = \cancel \frac{54}{2} } \: \: \: \: \\ \\ \bold{: \implies 5x + 7 = 27 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 5x = 27 - 7} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \cancel \frac{20}{5} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = 4 }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, breadth of the rectangle is 4cm

then, length = 7 + 4 × 4 = 23cm

hence, length and breadth of the rectangle are 4cm and 23cm respectively