Answer:
44
Step-by-step explanation:
1/2bh, b=8, h=11
1/2*8*11
1/2*88
=44
The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²
<h3>What is the Area of the Composite Figure?</h3>
Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw
Given the following:
- s = 3 ft
- b = 11 ft
- h = 3 ft
- l = 11 ft
- w = 3 ft
Area of the composite figure = (3²) + 1/2(11)(3) + (11)(3)
Area of the composite figure = 58.5 ft²
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m∠X + m∠Y < 90° is true.
<h3>How to solve it?</h3>
XYZ is a triangle.
We have to find the option that is true about △XYZ.
By angle sum property of a triangle,
The sum of all the interior angles of a triangle is always equal to 180°.
So, ∠X + ∠Y + ∠Z = 180°
Given, m∠Z > m∠X + m∠Y.
This implies that ∠Z is greater than the sum of the angles ∠X and ∠Y.
so, ∠X + ∠Y must be less than 90°.
Hence, we can say that ∠X + ∠Y < 90°
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Answer:
40.2 Yards
Step-by-step explanation:
To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:
c²= a² + b²
a = 36 Yards
b = 18 Yards
Now let's plug in our values to the formula.
c² = a² + b²
c² = 36² + 18²
c² = 1296 + 324
c² = 1620
Now to find the value of c we need to get the square root of both sides.

c = 40.2
So the diagonal length of Mr. Richard's orchard is 40.2 Yards.