# If the area of a rectangle is 84 sqcm and the difference of its length and breadth is 5cm,find its length,breadth and perimeter?

##

The eighth qstn in the two sums I have doubt pls help

The eighth qstn in the two sums I have doubt pls help

Length, Breath

Perimeter

[7]#color(white)("XXX"){:(L=-12,color(white)("X")orcolor(white)("X"),L=7), ("impossible",,):}#

By signing up, you agree to our Terms of Service and Privacy Policy

Let the length of the rectangle be ( L ) cm and the breadth be ( B ) cm. Given that the area of the rectangle is 84 sqcm, we have the equation ( L \times B = 84 ) sqcm. Also, given that the difference of its length and breadth is 5 cm, we have the equation ( L - B = 5 ) cm.

Solving these two equations simultaneously, we find:

( L \times B = 84 )

( L - B = 5 )

From the second equation, we can rewrite ( L ) as ( B + 5 ), and substitute it into the first equation:

( (B + 5) \times B = 84 )

( B^2 + 5B - 84 = 0 )

Now, we can solve this quadratic equation. Factoring or using the quadratic formula, we find the values of ( B ):

( (B - 7)(B + 12) = 0 )

This gives us two possible values for ( B ): ( B = 7 ) or ( B = -12 ). Since breadth cannot be negative, we discard ( B = -12 ).

So, ( B = 7 ) cm.

Now, we can find the length ( L ):

( L = B + 5 = 7 + 5 = 12 ) cm.

The perimeter of the rectangle is given by ( P = 2(L + B) ):

( P = 2(12 + 7) )

( P = 2(19) )

( P = 38 ) cm.

So, the length of the rectangle is 12 cm, the breadth is 7 cm, and the perimeter is 38 cm.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- The base of a triangular pyramid is a triangle with corners at #(2 ,6 )#, #(5 ,3 )#, and #(8 ,7 )#. If the pyramid has a height of #18 #, what is the pyramid's volume?
- Two corners of an isosceles triangle are at #(1 ,7 )# and #(2 ,3 )#. If the triangle's area is #6 #, what are the lengths of the triangle's sides?
- An ellipsoid has radii with lengths of #8 #, #8 #, and #12 #. A portion the size of a hemisphere with a radius of #6 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
- A chord with a length of #12 # runs from #pi/12 # to #pi/8 # radians on a circle. What is the area of the circle?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #42 # and the height of the cylinder is #1 #. If the volume of the solid is #225 pi#, what is the area of the base of the cylinder?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7