Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
Answer:
Arc CDE and arc EAC.
Step-by-step explanation:
Semicircles are exactly one-half of a circle and are always equal to 180 degrees. Since line CE is a horizontal line, measuring 180 degrees, 2 semicircles can be arcs CDE and EAC because they equal half of the circle.
I hope this helps!
Answer:
68.8 sq. inches.
Step-by-step explanation:
The triangular surfaces have sides 2 in by 3 in by 4 in.
So, half perimeter, s = 
So, the area of the triangular face is 
sq. inches.
Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)
