Will make u brainliest

the figure is a kite. what is the length of the kite’s longer diagonal?

We are given a kite in the given figure.

We need to find the the length of the kite’s longer diagonal.

Note: The diagonals of a kite cuts at right angle.

Therefore, we need to find the perpendicular sides of those right triangles formed.

For above small right triangle, base is 12 and hypotenuse is 13.

Applying Pythagoras theorem:

12^2 +b^2 = 13^2

144 +b^2 = 169

b^2 = 169 - 144

b^2 = 25.

For big right triangle, base is 12 and hypotenuse is 37.

Applying Pythagoras theorem:

12^2 + b^2 = 37^2

144 + b^2 = 1369

b^2 = 1369 - 144

b^2 = 1225

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source