Question

The length of a rectangle is four times it’s width. The rectangle has an area of 1024cm^2
What is the width of the rectangle?

Answer 1

Step-by-step explanation:

side 'x' = 16

length of rectangle be4x

4×16

64

width = 16

Answer 2

$\huge\underline\mathrm\green{Given :-}$

The length of a rectangle is four times it’s width. The rectangle has an area of 1024cm^2

$\large\underline\blue{NoTE}$

Area of rectangle = length × breadth

$\huge\underline\mathrm\green{To\:find:-}$

Width of rectangle

$\huge\underline\mathrm\green{Solution:-}$

Let the width be x then it's length be 4x

according to question

Area of rectangle = l × b

$\implies\sf 1024=(4x)×(x)$

$\implies\sf 1024=4x^2$

$\implies\sf x^2=\frac{1024}{4}$

$\implies\sf x^2=256$

$\implies\sf x=\sqrt{256}=16cm$

$\large{\boxed{\sf{Required\:breadth\:=16cm}}}$

$\large{\boxed{\sf{Required\:length\:=4×16=64cm}}}$