Our flower garden has a perimeter of 96 feet. The width of our garden is 8 feet less than the length. What are the dimensions (width
and length) of my garden plot?

9514 1404 393

  20 ft wide by 28 ft long

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 96 ft/2 = 48 ft.

The difference of length and width is given as 8 ft.

The width is half the difference of these numbers: (48 ft -8 ft)/2 = 20 ft.

The length is 8 ft greater: 20 ft + 8 ft = 28 ft.

The garden is 20 ft wide by 28 ft long.

If you need to see the supporting equations for this solution, consider ...

  w + (w+d) = s . . . . . where w is the width, d is the difference, and s is the sum

  2w = s - d . . . . . . . subtract d

  w = (s -d)/2 . . . . . . the solution we used above

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).

b 1: 45 am

step-by-step explanation:

its that because if it was in the pm it would be 1345