Answer:
10x+15
Step-by-step explanation:
area of the two rectangles combined is one big rectangle
area of rectange= base*height
base length: 2x+3
height: 5
(2x+3)*5
=(2x*5)+(3*5)
=10x+15
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The total area is 78 sq. ft.
Since the medal platform has different measurements, we need to individually compute the area of each polygon.
The top polygon is a square. Its sides measure 3 ft.
A₁ = a²
A₁ = 3 ft²
A₁ = 9 ft²
The middle polygon is a rectangle.
Its total width can be derived by adding the widths given and the width of the square above.
w = 3 ft + 3 ft + 3 ft
w = 9 ft
A₂ = width * height
A₂ = 9 ft * 2 ft
A₂ = 18 ft²
The bottom polygon is also a rectangle.
w = 4 ft + 9 ft + 4 ft
w = 17 ft
A₃ = width * height
A₃ = 17 ft * 3 ft
A₃ = 51 ft²
Total Area = A₁ + A₂ + A₃
T.A. = 9 ft² + 18 ft² + 51 ft²
T.A. = 78 ft²
The correct answer is-4y+6
