Answer:
Area is 582 feet squared
Step-by-step explanation:
So, it suggests you break the shape apart, which is exactly what we can do to solve this problem.
We know that the longest side is 38ft, but to find the remaining length of the top, we will subtract 21 from 38.
So: 38ft - 21ft = 17ft
Now we can break the shape. The square will be 21 by 18 ft, and the remaining rectangle shape will be 12 by 17ft.
For the area, we'll start with the square. The formula for area is length times width: A=LW
For the square, we have the length, 21, and the width 18ft. All we have to do is multiply them:
21 * 18 = 378ft. squared
Now we can move on the rectangle, which has a length of 17ft, and width of 12ft.
12 * 17 = 204ft. squared
Last step! We add our areas together to get the entire shape's area. So..
378ft. + 204ft. = 582ft. squared
Good luck :P
Multiply 9*14=126
multiply 7*6=42
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°
<span>4x+2(3x-9)=42
first we want to distribute the 2 using the distributive property
4x+6x-18=42
Then we simplify
</span><span>10x-18=42
we add 18 to both sides
10x=60
divide both side by 10
x=6</span>
A system of equations has at least one point in common in the solution (unless it is a special case)
A system of inequalities has regions of common solutions. (always an infinite number of solutions)
