Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking. 2. What is the value of side B? Explain your thinking. 3. What is the value of side c? Explain your thinking. 4. What is the area of the vegetable garden? Show your thinking

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.