x+x+(x+5)+(x+5)=66

Then you add things together to get:

4x+10=66

Subtract 10 from each side:

4x=56

Divide each side by 4:

x=14

YOU ARE NOT DONE! Remember that “x” was just for the short sides. To find the length of the longer two sides, add 5 to each. This gives your dimensions being 14 meters by 19 meters.

2)First set it up by knowing there are 4 sides to a square and 3 sides to a triangle. Also, the sides on an equilateral triangle are all the same and the sides of a square are all the same. However, here it tells you that each triangle side is 5 centimeters longer than the square side. So, to set it up, let “x” be each side of the square and “x+5” be each side of the triangle.

3(x+5)=4x

Distribute the 3 through on the left side to get:

3x+15=4x

Subtract 3x from each side to get:

15=x

YOU ARE NOT DONE. You only have found the length of the side of your square. To find the length of the side of the triangle, add 5 to your side to finally come to know the square’s sides are each 15 centimeters and the triangle’s sides are each 20 centimeters.

3)The formula for the area of a triangle is 1/2b*h where “b” is the base and “h” is the height. We know that the base is 8 centimeters and the total area is 36 square centimeters. Put them into the area formula as such:

36=1/2(8)*h

After you finish the multiplication you can do, you should have:

36=4*h

Divide each side by 4 to find “h”:

9=h

Your answer is 9 centimeters.

I hope this helps teach you how to do the problems for the future, rather than just giving you the answer.

1) P = 2L + 2W. Call L = W+5, since it is 5 meters longer.

2) Square’s perimeter = 4s. Triangle’s perimeter = 3(s+5).

3) Area = bh/2 = 36

width=a

lenght=a+5

2a+2(a+5)=66

a=14 = width .. so the lenght is 19

2) lenght of 1 square side = a

lenght of 1 triangle side = a+5

4a = 3(a+5)

4a = 3a + 15

a = 15

3)

formula for areas in triangle: 1/2a * h

4* h = 36

h = 9cm 🙂

that’s all about it:)

2 sides at 14

2 sides at 14+5=19