Question

what is the mathematical expressions of The area of a rectangle whose length is twice its width

Answer 1

Step-by-step explanation:

area of rectangle = l×b

if, l is twice its b

then,

l=2b

Answer 2

Given:

Length of a rectangle = 2 × width of rectangle

To find:

Mathematical expression of area of rectangle.

Solution:

Let length of rectangle be $l$. Let width of rectangle be $b$.

Let $A$ be the area of rectangle.

The amount of space occupied by a two-dimensional object is called area. A rectangle has only two dimensions, length and width, eventhough there are four sides. The opposite sides of a rectangle are equal. Hence, area of rectangle is given as the product of its dimensions, i.e., product of its length and width.

Area of rectangle = length × width

$A=l*w$

Since length of the rectangle is twice its width,

$l=2w$

Substituting this value in the equation of area.

$A=l*w$

$A=2w*w$

$A=2w^{2}$

This is the mathematical expression of area of rectangle whose length is twice that of width.

The mathematical expression of the area of a rectangle whose length $(l)$ is twice its width $(w)$ is given by $2w^{2}$.