Question

length of a rectangle is 5 more than its breadth the perimeter is 26. what are the length and the breadth of this rectangle​

Answer 1

Answer:

b = x

l = x+5

p = 26

p of rectangle = 2(l+b)

26 = 2(x+x+5)

26 = 4x+10

16 = 4x

16/4=x

4=x

therefore,

b = 4

l = 4+5 = 9

Answer 2

✪AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• A word problem

• Related to Mensuration

• Where length of Rectangle is 5 more than its breadth
• perimeter =26

${\sf{\green{\underline{\large{To\:find}}}}}$

• Length and breadth of Rectangle

${\sf{\pink{\underline{\Large{Explanation}}}}}$

Diagram

$\setlength{\unitlength}{1.05 cm}}\begin{picture}(12,4)\thicklines\put(0,1){ . }</p><p>\put(1,1){\line(1,0){4}}\put(1,5){\line(1,0){4}}\put(1,1){\line(0,1){4}}\put(5,5){\line(0,-1){4}}\end{picture}$

Solution

Let the breadth of Rectangle be x

• Therefore ,Length =x+5

$\boxed{\boxed{\sf\red{Perimeter=2(L+B) }}}$

According to the question

• Perimeter =26

$\boxed{\boxed{\sf\red{Perimeter=2(L+B) }}}$

Putting the values

=>26=2(x+x+5)

=>2(2x+5)=26

=>2x+5=13

=>2X=13-5

=>2X=8

=>X=4

Hence, Value of breadth is 4 and Breadth =9

Additional Information

• Area of Rectangle = Length × Breadth

• Diagonal of Rectangle =√{l²+b²}

• Perimeter of Square =4 × sides

• Area of Square = (side)²

• Diagonal of Square =√2 side