Find the area of the shape shown below.

18.75

Step-by-step explanation:

The formula to find the area of a triangle is

A= *b*h

The formula to find the area of a rectangle is simply the length times the base.

Here, you can separate the shapes, two triangle and one rectangle to make it easier to find. Subtract 7.5 and 2.5 to get 5, which will be the base measurements for the triangles.

Next, find the area for the triangles: x 5 x 2.5= 6.25, however, you have two triangles, so multiply by two to get 12.5.

Now, find the area of the rectangle, 2.5 +2.5= 6.25

Lastly, add the measurements together, 12.5 +6.25= 18.75

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).

n

step-by-step explanation: