Given: A= 14 ft² and l= 2w-3
formula for area of a rectangle is A=lw
substitute for what you know and simplify:
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2
subsitute width into equation for length and solve
l=2w-3= 2(7/2)-3= 4
width: 3.5 ft
length: 4 ft
3pi r 2 603.43 is the answer
Answer:
(D) is the right answer
Step-by-step explanation:
The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.
A triangular pyramid has four faces. So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.
A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.
B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.
C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.
D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.
So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.
Answer: 96 ft²
Step-by-step explanation:
<u>This figure can be divided into two rectangles:</u>
- The first rectangle has dimensions 6 ft by 14 ft.
- The second rectangle had dimensions 4 ft by 3 ft.
<u />
<u>Find the area of both rectangles:</u>
- The first rectangle: 6 × 14 = 84 ft²
- The second rectangle: 4 × 3 = 12 ft²
<u />
<u>Add them together to find the total area of the figure:</u>
84 + 12 = 96 ft²
