Answer:
Area of the shaded region= 
Step-by-step explanation:
Area of the shaded region= Area of the triangle- Area of the rectangle
Dimensions of the triangle:
Base= 40 inch
Height= 40 inch
Area of a triangle=

Area of the rectangle= Length*Width
Length=30 inch
Width=10 inch
Area:

Area of the shaded region= 
Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24
5 liter bucket with the 3 liter bucket twice, and then use the 3 liter bucket and the 4 liter bucket twice.
Answer:
0.5b + 1.5p ≤ 8
Step-by-step explanation:
The inequality function is as follows:
Let us assume the number of bananas acquired be b
And, the number of peaches acquired be p
Cost of each banana be $0.50
ANd, the cost of each peach be $1.50
Also the total would be $8
The possible values of banana is 0.5b
And, for peaches it would be 1.5p
So, the inequality function is
0.5b + 1.5p ≤ 8
Answer:
New area: 12ft^2
Step-by-step explanation:
1/3 of 9 is 3
1/3 of 12 is 4
Area = l x w
so 3 x 4 = 12