Aplan for a house includes rectangular room with an area of 60 square meters and a perimeter of 32 meters. what are the length and width of the room?

When width of room is 6 meters then length is 10 meters

When width of room is 10 meters then length is 6 meters.

Step-by-step explanation:

Given : The area of rectangular room is 60 square meters .

The Perimeter of room is 32 meters.

To Find : Length and width of room

Solution :

Let length of room be x meters

Let width of room be y meters.

Now , Formula of area of rectangle is:

Area of rectangle = Length * Width

Since we are given that area of rectangular room is 60 square meters .

⇒ 60 = x * y   ----(a)

Now Formula of perimeter of rectangle is :

Perimeter of rectangle = 2(length + width)

Since we are given that Perimeter of room is 32 meters.

⇒32 = 2(x+y)

⇒32= 2x+2y ----(b)

Now substitute the value of x from (a) in (b)

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒ y-6=0 and y-10=0

⇒ y=6 and y =10

Now calculate value of x corresponding to these value of y by putting values of y in a

When y = 6

⇒

⇒

When y = 10

⇒

⇒

So, when y= 6 then x= 10 and when y= 10 then x = 6

Thus when width of room is 6 meters then length is 10 meters

Thus when width of room is 10 meters then length is 6 meters.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5