Two gardens are being fenced in. Both gardens will require the same amount of fencing (both gardens have the same perimeter in meters). One garden is in the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 1 meter longer than each side of the square. Find the dimensions of the garden. square: m on each side
triangle: m on each side

square - 3m on each side

triangle- 4m on each side

Step-by-step explanation:

4*l=3(l+1)

4l  = 3l+3

-3l       -3l

l= 3m

square: 3 m on each side

triangle: 4 m on each side

Step-by-step explanation:

Suppose the length of the square is called x meter.

Then the perimeter of that square garden is 2 times the length and 2 times the width = 2x + 2x = 4x

So perimeter square garden = 4*(x)

Given

1. The length of the side of the equilateral triangle = x+1

Then the perimeter of the equilateral triangle is 3 times x+1 = 3*(x + 1) = 3x + 3

So perimeter equilateral triangle garden = 3*(x) + 3

Given

2. Both gardens have the same perimeter.

perimeter square garden = 4x

perimeter equilateral triangle garden = 3x + 3

Combine these two pieces of information:

4x = 3x + 3

4x -3x = 3

x = 3

Since the length of the square was called x meter, we now know that one side of the square must be 3m.

square: 3 m on each side.

Since length of the side of the triangle = x+1, we now know that one side of the triangle garden = 3 +1 = 4m.

triangle: 4 m on each side.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.