A rectangle has sides of 3x – 4 and 7x + 10. Find the expression that represents its perimeter. Solution/Explanation
2007-09-07 06:03:50 · 8 answers · asked by Vonnie 2 in Science & Mathematics ➔ Mathematics
The perimeter is the sum of all the sides. For ex. if you have a rectangle with sides 3 and 4, then the Perimeter = 2(3) + 2(4) because you have two sides that are length 3 and 2 sides that are length 4.
Here, you use the same formula, P = 2(length) + 2(width)
P = 2(3x-4) + 2(7x+10)
P = 6x - 8 + 14x + 20
P = 20x +12
There's your answer!
2007-09-07 06:10:06 · answer #1 · answered by Anonymous · 2⤊ 0⤋
A rectangle has two pairs of parallel sides. One pair has a length of 3x-4 and the other pair has a length of 7x+10. The perimeter is the sum of the four sides. Thus,
3x-4 + 3x-4 + 7x+10 + 7x+10 = perimeter
20x+12=perimeter length
2007-09-07 13:11:24 · answer #2 · answered by L B 4 · 0⤊ 0⤋
The perimeter of a rectangle is the sum of all four sides ( 2 widths and 2 lengths):
The given sides are of one width and one length so double each one and add them to get:
2(3x-4) + 2(7x+10) = it as just algebra from here.
6x - 8 + 14x + 20 =
20x + 12
2007-09-07 13:14:17 · answer #3 · answered by 037 G 6 · 0⤊ 0⤋
2(3x-4)+2(7x+10)=P
Each of those equations is one side it gives you two sides then. Since in a rectangle there are two pairs of equal sides you have all four sides so now you just put it into an equation and that is the equation for the perimeter.
2007-09-07 13:08:43 · answer #4 · answered by Ching King 2 · 1⤊ 0⤋
P=2(l+b)
=2(3x-4+7x+10)
=2(10x+6)
=20x+12
2007-09-07 13:07:58 · answer #5 · answered by MathStudent 3 · 0⤊ 0⤋
let l be one of the side.....l=3x-4
and b be the other side.....b=7x+10
now we know that perimeter of rectangle is 2(l+b)
==> 2(3x-4+7x+10)
==> 2(10x+6)
therefore the expression which reprents its perimeter is 2(10x+6) or 20x+12.
2007-09-07 13:11:45 · answer #6 · answered by nawaz_xan6 2 · 0⤊ 0⤋
perimeter of a rectangle
2(w+l)
2(3x-4 + 7x+10)=
6x-8+14x+20
6x+14x=20x
20-8=12
so the answer is=
20x+12
explanation:
we put similar cofficents together and expressions together with their signs then solve it .
2007-09-07 13:30:23 · answer #7 · answered by neve 2 · 0⤊ 0⤋
The smallest rectangle is when x= zero ,its the perimeter is 12
2007-09-07 13:13:30 · answer #8 · answered by goring 6 · 0⤊ 0⤋