an equilateral triangle has sides of length x+1 cm
an square has the sides of x-2 cm
The triangle and the square have the same perimeter
A) write down an equation in terms of x that links the perimeter of each shape
b) Solve the equation to find value of x
c) Write down the length of each side of the square
2
Answers
Given,
An equilateral triangle has sides of length (x+1)cm and a square has the sides of (x-2)cm . The triangle and the square have the same perimeter
To find :
A) Write down an equation in terms of x that links the perimeter of each shape .
b) Solve the equation to find value of x.
c) Write down the length of each side of the square .
Solution :
Side of equilateral triangle = (x + 1) cm
Side of square = (x - 2) cm
Perimeter of equilateral triangle = Perimeter of square
Now we know,
→ Perimeter of equilateral triangle = 3 * Side
→ Perimeter of square = 4 * Side
Now atq,
⇒ 3(x + 1) = 4(x - 2) [Answer of (A)]
Now solving the equation :
⇒ 3x + 3 = 4x - 8
⇒ 4x - 3x = 8 + 3
⇒ x = 11 [Answer of (b)]
Now length of each side of square :
⇒ Side of square = x - 2
⇒ Side of square = 11 - 2
⇒ Side of square = 9 cm [Answer of (c)]
An equilateral triangle has sides of length x+1 cm. A square has the sides of x-2 cm.
The triangle and the square have the same perimeter.
- Write down an equation in terms of x that links the perimeter of each shape.
- Solve the equation to find value of x.
- Write down the length of each side of the square.
- An equilateral triangle has sides of length x+1 cm.
- A square has the sides of x-2 cm.
- The triangle and the square have the same perimeter.
- Write down an equation in terms of x that links the perimeter of each shape.
- Solve the equation to find value of x = 11.
- Write down the length of each side of the square.
- Write down an equation in terms of x that links the perimeter of each shape = 3(x+1) = 4(x-2)
- Solve the equation to find value of x = 4(x-2)
- Write down the length of each side of the square = 9
- Perimeter of equaliteral triangle = 3 × Side.
- Perimeter of square = 4 × Side.
- Perimeter as P.
- Triangle as ∆.
- Length as L.
- This question says that an equilateral triangle has sides of length x+1 cm. A square has the sides of x-2 cm. The triangle and the square have the same perimeter. In this We have to find the following data
➜ Write down an equation in terms of x that links the perimeter of each shape. In this part we have to write the equation by using given formulas.
➜ Solve the equation to find value of x. In this part using the equation we have to find the value of x.
➜ Write down the length of each side of the square. In this part we have to solve this by substituting the value of x form above answer.
- To solve this question we have to know some formulas that are mentioned above by me. So plzz see them to understand the concept properly. Now solving question 1 putting the values according to the formula. We get our result. Now solving question 2. Using above answer ( question 1 ) we have to find the value of x. After putting the values we get our result property. Solving question 3. By substituting the value of x that is the result of question 2. And we get our result very easily. See below to know the procedure properly.
According to the question it is cleared that what is given or what to find ! Let's see it again properly !!
- An equilateral triangle has sides of length x+1 cm. ( Given )
- A square has the sides of x-2 cm. ( Given )
- The triangle and the square have the same perimeter. ( Given )
- Write down an equation in terms of x that links the perimeter of each shape. ( To find )
- Solve the equation to find value of x. ( To find )
- Write down the length of each side of the square. ( To find )
Answer 1.
According to the question, let's carry on the equation is given below
- 3(x+1) = 4(x-2)
Answer 2.
According to the question, let's carry on
- 3(x+1) = 4(x-2)
- 3x + 3 = 4x - 8
- 3x - 4x = -8 -3
- -1x = -11
- 1x = 11
- x = 11/1
- x = 11.
Answer 3.
According to the question, let's carry on
L of each side of square
- Side of square = x - 2
Substituting the value of x that is 11.
- Side of square = 11 - 2
- Side of square = 9.