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 = [tex]PQ\times QS=7\times 2=14[/tex] 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 = [tex]AB^{2}=4^2=16[/tex] 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 = [tex]\frac{1}{2}\times UW\times VW=\frac{1}{2}\times 4\times 8=16[/tex] square units.
For triangle EFG, EF = 4 units and FG = 8 units.
Area = [tex]\frac{1}{2}\times EF\times FG=\frac{1}{2}\times 4\times 8=16[/tex] square units.
Area of rectangle PQRS is 14 square units. The remaining figures have areas each equal to 16 square units.
