Quadrilateral MNPQ is shown on the grid below.
1 answer:
Answer:
<em>42 square units</em>
Step-by-step explanation:
Find the diagram attached
Area of the diagram = Area of the triangle + Area of rectangle
Area of rectangle = Length * Width
Area of rectangle = 3 * 6
Area of rectangle = 18 square units
Area of triangle = 1/2 * base * height
Get the base of the tringle using the pythagoras theorem;
b^2 = 10^2-6^2
b^2 = 100 - 36
b^2 = 64
b = 8units
height = 6 units
Area of the triangle = 1/2 * 8 * 6
Area of the triangle = 48/2
Area of the triangle = 24 square units
Area of the figure = 18+24
<em>Area of the figure = 42 square units</em>
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Answer:
- a = 8; b = 40
Step-by-step explanation:
<em>See attached</em>
<h3>Given </h3><u>Kite WXYZ with:</u>
- XY = 3a - 5
- YZ = a + 11
- ∠W = 50°
- ∠X = 3b
- ∠Y = 70°
- Values of a and b
<u>Since XY and YZ are congruent sides, XY = YZ</u>
- 3a - 5 = a + 11
- 3a - a = 11 + 5
- 2a = 16
- a = 8
<u>The angles Z and X are equal and the sum of 4 angles is 360°, therefore:</u>
- 3b + 3b + 50° + 70° = 360°
- 6b + 120° = 360°
- 6b = 240°
- b = 40°
<u>Correct option is the last one </u>
- a = 8; b = 40°
