Question

a rectangular parking lot has a lenth that is 6 yard graeter than the width the area of the parking lot is 160 ssquar yardsd. find the lenth and the width use the formulaarea

Answer 1

Answer:

Required Answer:-

Let

the breadth =x

the length =6x

• $\sf Area=160yard^2$

As we know that in a rectangle

${\boxed{\sf Area=lb}}$

• Substitute the values

${:}\longrightarrow$$\sf x\times 6x=160$

${:}\longrightarrow$$\sf 6x^2=160$

${:}\longrightarrow$$\sf x^2={\dfrac {160}{6}}$

${:}\longrightarrow$$\sf x^2=26.6$

${:}\longrightarrow$$\sf x=\sqrt {26.6}$

${:}\longrightarrow$$\sf x=5.1yards$

• Length=6\times 5.1=30.6yards
• Breadth=5.1yards