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3 years ago

the area of a room in a dollhouse is 1248 square inches. the width of the room is 8 inches. how long is the room

2 answers:

8 0

Area= Length* Width
⇒ 1248 in^2= Length* 8 in
⇒ Length= 1248 in^2/ (8 in)
⇒ Length= 156 in

The length of the room is 156 in~

zaharov [31]3 years ago

7 0

The dollhouse is 156 inches long.

Area is computed by multiplying the length to its width.

A = L * W

Use the formula and substitute the values given in the problem.
A = 1248 sq. inches
w = 8 inches
L = ?

1248 = L * 8

L = 1248 sq. in/ 8 in
L = 156 inches

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3 years ago

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of itsâ height, and

storchak [24]

The question is incomplete.Here is the complete question.

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?

Answer: It must be 392 inches or approximately 33 feet.

Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of proportionality, i.e., if divided, the result is a constant.

For the first load:

width = 6in

height = 4in

length = 13ft or 156in

weight = 800lbs

Then, constant will be:

$\frac{6.4^{2}}{156} k = 800$

$k=\frac{800.156}{96}$

k = 1300

For the similar beam:

$\frac{8.7^{2}}{L}1300=1300$

L = 49.8

L = 392in or 32.8ft

A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.

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3 years ago