Answer:
about 77 cm^2
Step-by-step explanation:
From 3 sides, the area of a triangle is conveniently calculated using Heron's formula:
A = √(s(s -a)(s -b)(s -c))
where s is the semi-perimeter: s = (a+b+c)/2.
For the given values of a, b, c, we have ...
s = (a+b+c)/2 = (18 +11 +14)/2 = 21.5
A = √(21.5·3.5·10.5·7.5) = √5925.9375
A ≈ 76.9801 . . . cm^2
The area is about 77 square centimeters.
Answer:
74 units squared
Step-by-step explanation:
we know that the area of a square or rectangle is A = L × w
so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.
so I'll start with the middle square its length is 8 and width is 8 too.
A = 8 × 8
A = 64
now we'll move on to the other small ones to the side.
the one on the right side it's length is 2 and width is 2.
A = 2 × 2
A = 4
and then the last one on the left, Length is 3, width is 2.
A = 2 × 3
A = 6
now we'll add up all of the areas to get the total area.
Total = 64 + 4 + 6
Total = 74 units squared
Answer:
6a^3+ 22a^4+ 14a-10
Step-by-step explanation:
6a^3 10a^2 12a^2 20a -6a -10
-1 because x is on the left and y is always on the right
9514 1404 393
Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.
