Math Equation/ math word problem

Question

 

 

define variables, write an equation, and then use the equation in the solving process.

 

The length of a rectangular frame is 3 cm more than the width. The area inside the frame is 70 square cm. Find the width of the frame.

Answer 1

Suppose width of the rectangle = xcm

As per question, length = (x+3)cm

Area of RECTANGLE = length * width

= x*(x+3) sq cm.

Area of RECTANGLE =70 sq cm.

So, the equation will be,

x*(x+3)=70

> x^2 + 3x - 70 =0

> x^2 +10x -7x -70=0

> (x + 10)*(x - 7) =0

> x =(-10) or x =7

Lengths , width cannot be negative.

So, the width of the rectangle is 7cm.

the length of the rectangle is 10cm.

By cross checking area of the rectangle is 7*10=70 sq cm.

Here is your ans. Hope this help. Feel free to ask any problem if you face.

Thank you.