Question

A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______

(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is ____________ feet.

The length of the field is ____________ feet.

Answer 1

• Let width be x
• Length=6x

ATQ

$\\ \tt\longmapsto 2(x+6x)=1190$

$\\ \tt\longmapsto 2(7x)=1190$

$\\ \tt\longmapsto 7x=595$

$\\ \tt\longmapsto x=595/7$

$\\ \tt\longmapsto x=85$

• Length=6(85)=510ft
• Width=85ft