Answer:
Step-by-step ex snsmsndjsnshsushdidjdplanation:
Answer:
width=2 ft, length=(3x+4)ft
Area of Rectangle=width x length
=2ft . (3x+4)ft
=6x+8 ft sq
Area of Rectangle <56 ft sq
6x+8 ft sq <56 ft sq
6x < 56 ft sq - 8 ft sq
6x < 48 ft sq Substeracting 8 on both sides
6x/6 < 48 ft sq/6 Dividing by 6 on both sides
x < 8 ft sq
Step-by-step explanation:
Choice A is the correct answer
Well perimeter is lengthx2 and widthx2 so 7x2=14
then 64-14=50
50÷2= 25
length=25
For the cylinder on the left-hand-side,
![\bf \textit{surface area of a cylinder}\\\\ S=2\pi r(h+r)\quad \begin{cases} r=radius\\ h=height\\ ------\\ h=10\\ r=5 \end{cases}\implies S=2\pi (5)(10+5)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsurface%20area%20of%20a%20cylinder%7D%5C%5C%5C%5C%0AS%3D2%5Cpi%20r%28h%2Br%29%5Cquad%20%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0Ah%3Dheight%5C%5C%0A------%5C%5C%0Ah%3D10%5C%5C%0Ar%3D5%0A%5Cend%7Bcases%7D%5Cimplies%20S%3D2%5Cpi%20%285%29%2810%2B5%29)
now, for the triangular prism on the right-hand-side,
notice is really just 2 triangles and 3 rectangles, stacked up to each other at the edges.
the triangles have a base of 4, and a height of 1.5.
the rectangle on the left and the one on the right is a 6x2.5 rectangle.
the rectangle at the bottom, is a 4x6 rectangle.
adding their areas, is the area of the prism,