Question

The perimeter of a rectangular swimming pool is 154 m. Its length is 2m more than twice its breadth.

Now answer the following questions. (5)

a) Form a linear equation in the variable x.

b) Solve for x.

c) What is the length of this swimming pool?

d) What is the breadth of this swimming pool?

e) Find the area of the swimming pool.​

Answer 1

Answer:

Step-by-step explanation:

Answer

Let the breadth of rectangular swimming pool be x metres.

Then, its length =(2x+2) metres.

We know that the Perimeter of a rectangle =2(Length+Breadth)

=2(2x+2+x)=6x+4

According to the given condition, we have

6x+4=154

⇒6x=154−4           ..[By transposing 4 to RHS]

⇒6x=150

⇒

6

x

​

=

6

150

​

         ...[Dividing both sides by 6]

⇒x=25

Thus, breadth =25 m and length =25×2+2=52 m

Answer 2

Answer:

let the length be x

therefore breadth be y

(a).