If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5
What is rectangle?
"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."
What is triangle?
"A triangle is a polygon with three edges and three vertices."
The given figure contains a rectangle and a triangle.
Length of rectangle = 10 ft
Breadth of rectangle = 8 ft
Area of rectangle = length × breadth
Area of rectangle = 10 × 8 = 80 ft.
Base of triangle = 8 ft.
Height of triangle = 3 ft.
Area of triangle = [tex]\frac{1}{2}[/tex]× base × height
Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.
Total area of fence = Area of rectangle + Area of triangle
Total area of fence = 80 + 12 = 92 ft.
Cost of one foot of fence = $1.50
Cost of 92 foot of fence = $1.50 × 92
Cost of 92 foot of fence = $138
4 square feet is covered by = 1 bag of gravel
1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel
92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel
Cost of 1 bag of gravel = $3.50
Cost of 23 bags of gravel = $3.50 × 23 = $80.5
Total amount spend = $138 + $80.5 = $218.5
Hence, total amount spend is $218.5
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