The total area of square TUVW is 160 meters.
<h3>Find out the sides of PQRS:</h3>
Total area: side x side
256 m = side x side
side = √ 256
side= 16 m
This means PQ, QR, RS, SP = 16 m
<h3>Find out the area of one triangle:</h3>
Area: 1/2 x base x height
Let's find out the area of the triangle UVR although all triangles are the same.
Base: 4 meters
Height:
RQ= 16
QU= 4
16-4 = 12
Area: 1/2 x 4 x 12 = 24
<h3>Find the total area of the triangles:</h3>
24 x 4 = 96
Finally, find out the total area of the grey square:
Total area of the grey square = Total area of the white square - area of the triangles
Total area = 256 - 96
Total area= 160
Learn more about squares in: brainly.com/question/13747846
Answer:
The angle Rick must kick the ball to score is an angle between the lines BX and BZY which is less than or equal to 32°
Step-by-step explanation:
The given measures of the of the angle formed by the tangent to the given circle at X and the secant passing through the circle at Z and Y are;


The direction Rick must kick the ball to score is therefore, between the lines BX and BXY
The angle between the lines BX and BXY = ∠XBZ = ∠XBY
The goal is an angle between 
Let 'θ' represent the angle Rick must kick the ball to score
Therefore the angle Rick must kick the ball to score is an angle less than or equal to ∠XBZ = ∠XBY
By the Angle Outside the Circle Theorem, we have;
The angle formed outside the circle = (1/2) × The difference of the arcs intercepted by the tangent and the secant

We get;
∠XBZ = (1/2) × (122° - 58°) = 32°
The angle Rick must kick the ball to score, θ = ∠XBZ ≤ 32°
This is very similar to the last question:-
0.51No = No e^_0.0001t
t = ln 0.51 / 0.0001
= 6733 years
The length is 8. the width is 32.
32(2) = 64
8(2) = 16
64+16 = 80
So the length would be 8 and the width would be 32 since it's 4 times the length.
Hope this helped!