To solve this problem, we need to know the formulas for the areas of each of these shapes. The formula for the area of a circle is πr², the area of a rectangle is b * h, the area for a square is s², and the area for a triangle is 0.5bh. Now we can solve.
1) This is a circle, so the area is πr² = π(6)² = 36<span>π square feet
2) This is a square, so the area is s</span>² = 12² = 144 square yards
3) This is a rectangle, so the area is b * h = 6 * 14 = 84 square inches
4) This is a rectangle, so the area is b * h = 7 * 3 = 21 square inches
5) This is a circle, so the area is πr² = π(4)² = 16<span>π square feet
6) This is a triangle, so the area is 0.5bh = 0.5 (8 * 8) = 0.5 * 64 = 32 yd.</span>²
7) This is a triangle, so the area is 0.5bh = 0.5 (5 * 10) = 50 * 0.5 = 25 yd.²
8) This is a rectangle, so the area is b * h = 10 * 2 = 20 in²
9) This is a square, so the area is s² = 9² = 81 ft²
<h2>Solving Quadratic Equations with the Quadratic Formula</h2>
<h3>Answer:</h3>
and 
<h3>Step-by-step Explanation: </h3>
Recall:
if we have a quadratic equation, 
, where 
, 
and 
are real numbers and 
, 
.
Given:
Solving for 
:
Solving with the positive value:
Solving with the negative value:
P=5/6
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