Answer:
249 centimeters squared
Step-by-step Explanation:
The area of the rectangle: l x w, where l is the length and w is the width.
= 15.5 x 18
= 279
Area of the smaller rectangle: l x w, where l is the length and w is the width.
= 4 x 7.5
= 30
We do not need this 30.
Area of the shaded region:
= 279 - 30
= 249 cm²
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
Yes, (3, 2) is a solution to y = 2x - 4. (:
So the answer is 30 packages but I did 25 times 20 = 500 and then 25 times 10 = 250
So. 30 = 750
1 - 8 = - 7
6 - 1 = 5
Let us use the Pythagorean theorem:
c^2 = (-7)^2 + 5^2 = 49 + 25 = 74 -> c = 8.6
