The area of the kite is 2.25 square feet
<h3>How to determine the area of the kite?</h3>
The area of the kite is calculated using:
Area = 0.5 * pq
Where p and q are the diagonals of the kite.
In this figure,
p = 3
q = 0.75 * 2 = 1.5
So, we have:
Area = 0.5 * 3 * 1.5
Evaluate
Area = 2.25
Hence, the area of the kite is 2.25
Read more about areas at:
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Answer: L, J, K
Step-by-step explanation:
L, J, and K are collinear because they all lie on the same line.
5x-23=87
add 23 to both sides
5x=110
divide both sides by 5
x=22
To check your answer...
5(22)-23=87
110-23=87
87=87
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
