HURRY ILL GIVE U BRAINLIEST!!! Find the area of each figure. Which do these belong in?
1 answer:
Answer:
Area of rectangle PQRS is 14 square units.
Area of triangles UVW and EFG and square ABCD are 16 square units each.
Step-by-step explanation:
Let us find the area of each of the figures shown in the graph.
Area of rectangle PQRS is given as the product of PQ and QS.
From the graph,
Length of PQ = 7 units
Length of QS = 2 units
Now, area of rectangle PQRS = square units.
Now, area of square ABCD is given as the square of any of its side.
From the graph, AB = 4 units.
So, area of ABCD = square units.
Area of triangle UVW is given as the half of the product of its base VW and height UW.
From the graph, UW = 4 units, VW = 8 units
Therefore, area of triangle UVW = square units.
For triangle EFG, EF = 4 units and FG = 8 units.
Area = square units.
Area of rectangle PQRS is 14 square units. The remaining figures have areas each equal to 16 square units.
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See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.