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Thepotemich [5.8K]
4 years ago
8

Can someone help me out

Mathematics
2 answers:
Nastasia [14]4 years ago
7 0

Answer:

40

Step-by-step explanation:

Surface area is the sum of the faces of all sides, so find the area of all sides and add

algol134 years ago
4 0

Answer:

40 mi²

Step-by-step explanation:

(see attached for reference)

the formula for surface area of a right rectangular prism

= 2(length x width) + 2(width x height) x 2(length x height)

in our case

length = 4 mi

width = 2 mi

height = 2 mi

substituting these values into the equation:

surface area

= 2(length x width) + 2(width x height) x 2(length x height)

=2(4)(2) + 2(2)(2) x 2(4)(2)

= 16 + 8 + 16

= 40 mi²

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In rectangle PQRS, PR = 11x – 20and QS = x + 160.
Goshia [24]

Answer:

\large \boxed{1.\, x = 18; 2.\, 178}

Step-by-step explanation:

1. Value of x

The diagonals of a rectangle are equal, so

PR = QS

\begin{array}{rcll}11x - 20 & = & x + 160 & \\11x &= & x + 180 & \text{Added 20 to each side}\\10x & = & 180 & \text{Subtracted x from each side}\\x& = & \mathbf{18} &\text{Divided each side by 10}\\\end{array}\\\large \boxed{\mathbf{x = 18}}

2. Length of each diagonal

PR = 11x - 20 = 11×18 - 20 = 198 - 20 = 178

QS = x + 160 = 18 + 160 = 178

The length of each diagonal is 178.

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Step-by-step explanation

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