Question

A length of a rectangle is 4 times it’s width the rectangle has an area of 1024cm2 work out the width of the rectangle

Answer 1

Answer:

x = 16cm

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before we solve the problem, we will first make the following statements:

Area of rectangle = l x w

Area of rectangle = 1024$cm^{2}$

therefore,

l x w = 1024$cm^{2}$

Since the question states that the length is 4 times the width, we can make the following statement:

l = 4w

Using this, we can substitute the l in the previous statement we made, l x w = 1024$cm^{2}$,

4w x w = 1024

$4x^{2} =1024\\x^{2} =256\\x=\sqrt{256} \\x=16$