Question

the length of a rectangle is 3 times its width if the perimeter is 96 cm find the dimensions of the rectangle

Answer 1

length=3x
breadth=x
perimeter=2 (l+b)
96 = 2× 4x
96. = 8x
x = 96/8
x= 12
breadth is 12
length is 36

Answer 2

The length and width of the rectangle are 36 cm. and 12 cm. respectively.

• An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
• Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here, according to the given information, we are given that,

The length of a rectangle is 3 times its width.

Let the width be x. Then the length is 3x.

Now, we know that,

Perimeter of a rectangle = $2(length+width)$.

Then, we get,

96 = $2(x+3x)$

Or, $96 = 2(4x)$

Or, $96 = 8x.$

Or, $x = 12.$

Then, the length = $3(12) = 36$ cm.

Hence, the length and width of the rectangle are 36 cm. and 12 cm. respectively.

Learn more here

https://brainly.in/question/26309305

#SPJ3