Question

The area of a rectangular window is 5742 cm^2. If the length of the window is 87 cm, what is its width

Answer 1

Use the area of a rectangle formula to solve for the width:

Area of a rectangle:

A=L•W

Input the variables:

(5,742)=(87)•w

87•w is equivalent to 87w

5742=87w

Solve for w:

5742/87=w

Simplify:

66=w

Apply the symmetric property: if a=b, then b=a:

w=66

We can check this by substituting w=66 back into the formula:

5742=87•66

5742=5742 by the reflexive property.

So, the width is 66cm

Answer 2

Area=length × width

5742cm^2=87cm × width

5742=87width

Divide both side by by 87

width =66cm