Question

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!

There are two gardens, garden A and garden B are shown in the image below.
Determine if statement 3 and 4 are true or false and explain why the statements are true or false

Answer 1

• 3- False,
• 4- True

Explanation:

Garden A

Rectangle with sides

• Width ⇒ 2x - 3 feet
• Length ⇒ 5(2x - 3) = 10x - 15

Perimeter is

• 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36

Garden B

Triangle with sides

• 5x + 5, 4x + 2, 8x - 8

Perimeter is

• 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1

Statement 3

The difference in perimeters is the difference is fencing:

• 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35

Since it is different from 7x - 37 the statement is FALSE

Statement 4

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

So the perimeter is going to be:

• 24x - 36 + 20 =
• 24x - 16

This statement is TRUE