5. Find the area of the of the figure 20 points below..
16 ft
A. 117 sq. ft
B. 345 sq. ft.
C. 812 sq. ft
D. 292 sq. ft.

Answer && Step-by-step explanation:

We know that area for rectangle/square is Width * Height

Triangles 1/2 * Base*Height

we can see the height of the triangle will be 6 feet, as 10 feet is the "height" (length) of the rectangle

solve by multiplying the rectangle's sides (I cant see if that is a 9 or not but:)

9*10 = 90

keep it in mind, now we know 9==base for triangle, thus;

(9*6)*1/2==27

90+27

117 sq ft.

A.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

3100

step-by-step explanation: