22.5k views
5 votes
The perimeter of a rectangle is 8(2x + 1) inches. The length of the sides of a rectangle are 3x + 4 inches and 4x + 3 inches. Write and solve an equation to find the length of each side of the rectangle.

2 Answers

6 votes
8(2x+1)=2(3x+4) + 2(4x+3)
16x+8=6x+8+8x+6
16x+8=14x+14
2x=6
X=3
now just replace X with 3 to find the length and width
User CSteusloff
by
8.3k points
1 vote

Answer:

Length of rectangle=
3(3)+4=13

Width of rectangle=
4(3)+3=15

Explanation:

We are given that

Perimeter of rectangle=
8(2x+1)

Length of sides of rectangle=
3x+4

Width of rectangle=
4x+3

We have to solve the equation and find the length of each side of rectangle

We know that perimeter of rectangle=
2(L+B)

Substitute the values then we get


8(2x+1)=2(3x+4+4x+3)


16x+8=14x+14


16x-14x=14-8


2x=6


x=(6)/(2)=3

Substitute the value of x then we get

Length of rectangle=
3(3)+4=13

Width of rectangle=
4(3)+3=15

User SLaks
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories