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almond37 [142]
3 years ago
15

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

Mathematics
2 answers:
VashaNatasha [74]3 years ago
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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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

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4 years ago
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