Plse me plse pic included .. find the area of the following shape. you must show all work to receive credit.

Excuse my crummy writing. Anyways, all I did was section this shape into smaller shapes that I can work with (triangles and rectangles). I'll link the picture below. The area of the blue triangle is 4.5. The area of the purple triangle is 13.5. The area of the red triangle is 3. The area of the orange and the black rectangles (they're identical) is 18. Add these areas up to get the total. 4.5 + 13.5 + 3 + 18 + 18 = a grand total of 57 units

Hope this helps :)

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).

i can't solve unless i know what the line is

step-by-step explanation:

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