Question

if the length of a rectangle is (x-5) and breath is 8 cm and perimeter is 40 cm make an equation and find x​

Answer 1

Answer:

$\boxed{\bold{\mathsf{Value \: of \: x = 17 }}}$

Step-by-step explanation:

Given:-

length of a rectangle = (x-5)

breath = 8 cm

perimeter = 40 cm

To find: Form an equation in x and the value of x

As we know that

Perimeter of rectangle = 2×(L + B)

Put in the values

$\boxed{\bold{\mathsf{Equation \: in\: x }}}$ 2(x -5 + 8) = 40

2(x +3) = 40

2x + 6 = 40

2x = 34

x = 17

$\rule{200}{1}$

◾Perimeter of Rectangle = 2×(L + B)

◾Reactangle is an type of parallelogram

◾All the angles in rectangle are 90°

◾In these question just set the value (or in some cases assume the variables and solve) and frame as given

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The value of x is 17 and Length of the Rectangle is 12 cm.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Length of the Rectangle = x - 5

Breadth = 8 cm

Perimeter = 40 cm

To Find :

Value of x

Solution :

★ $\boxed{\sf{Perimeter=2(Length+Breadth,)}}$

$\sf{\implies} \: 2(x - 5 + 8 )= 40$

$\sf{\implies} \: 2x - 10+ 16 = 40$

$\sf{\implies} \: 2x +6 = 40$

$\sf{\implies} \: 2x= 40 - 6$

$\sf{\implies} \: 2x= 34$

$\sf{\implies} \: x= \dfrac{34}{2}$

$\sf{\implies} \:x = 17$

The Value of x = 17

$\rule{300}{1.5}$

★ Value of x - 5

$\sf{\implies} \:17 - 5$

$\sf{\implies} \:12$

$\therefore$ The value of x is 17 and Length of the Rectangle is 12 cm.