Question

Q5.The area of a rectangle is 60 square cm.
Length= (3x+2) cm
Breadth= 3 cm
a) Write down an equation involving x
b) Find the value of x
c) Find the length of the rectangle

Answer 1

Step-by-step explanation:

Given:-

in a rectangle

area= 60cm^2

Length=3x+2cm

Breadth=3cm

To find:-

a) Write down an equation involving x

b) Find the value of x

c) Find the length of the rectangle

Solution:-

Equation:-

${:}\longrightarrow$3x+2×3=60

value of x

${:}\longrightarrow$(3x+2)3=60

$\implies{9x+6=60}$

$\implies{9x=60-6=54}$

$\implies{x= {\frac{54}{9}}}$

$\implies{\bf{x=6}}$

Length:-

${:}\longrightarrow$3x+2

${:}\longrightarrow$3×6+2

${:}\longrightarrow$18+2=20cm