Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = 
h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 = h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h = 
= 4 units
X represents the length of a deck. There are three parts to this equations. The 1. width, 2. the length, and 3. the 5 feet shorter. Using the key words, y = the width of a deck (uses the term is which means =) So that takes the width part out of the equation. Then, 5 feet shorter means -5 than a number. That takes away the 5 feet shorter part of the equation. That leaves x to equal the length of the deck.
36 feet of carpet cause its a square so 6x6 is 36
To find the area of a circle, you do π × diameter (in this case 10). They have told you to use 3.142 as π, so you do 3.142 × 10 = 31.42. Because it's a semi-circle, you need to halve 31.42 to get 16.21, which is the answer
