Question

length of a rectangle is1m more than 3 times of its breadth if the perimeter of rectangle is 26m Express this in algebraic equation​

Answer 1

Answer:

2(3X+1+X)=26

Step-by-step explanation:

b= x

then l=3(x)+1

p= 2( l+b)

2( 3x+1+x)

8x+2=26

8x= 24

X= 3

Answer 2

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Let ,

$\star$Breadth (b) = x

$\star$So , Length (l) = 1 + 3x

Given ,

$\star$Perimeter = 26 cm

We know that ,

$\large\fbox{ \fbox{ \sf \: Perimeter \: of \: rectangle = 2 ( l + b ) \: }}$

$\implies \sf 26 = 2(1 + 3x + x) \\ \\ \implies \sf 26 = 2(1 + 4x) \\ \\ \implies \sf \frac{ \cancel26}{ \cancel2} = 1 + 4x \\ \\ \implies \sf 13 = 1 + 4x \\ \\ \implies \sf 12 = 4x \\ \\ \implies \sf x = \frac{ \cancel12}{ \cancel4} \\ \\ \implies \sf x = 3 \: \: m$

$\therefore$Breadth = 3 m & length = 10 cm