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:
Step-by-step explanation:
19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.
Therefore, 21x + 6 = 90
2x = 90 - 6
2x = 84
x = 42
21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,
8x - 4 = 60
8x = 60 + 4
x = 
x = 8
23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles
Therefore, (-1 + 14x) = (12x + 17)
14x - 12x = 17 + 1
2x = 18
x = 9
25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.
Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]
2x + 192 = 180
2x = 180 - 192
2x = -12
x = -6
Now measure of (x + 96)° = -6 + 96
= 90°
26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.
Therefore, (20x + 5)° + (24x - 1)° = 180°
44x + 4 = 180
44x = 176
x = 4
why do they be giving us this hardwork :(
Answer:
12?
Step-by-step explanation:
97/8=12.125
<span>4 people seated on a row may have 4! = 4x3x2x1 = 24 different ways to sit.</span>