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3 years ago

The room shown below right is 14 ft by 10 ft. Find the dimensions of each piece of furniture to the nearest tenth . 16))

Mathematics

1 answer:

DENIUS [597]3 years ago

6 0

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the image file of the question:

The dresser dimension is:

$L= 6.0 \ feet\\\\ W= 3.0 \ feet$

The bed dimension is:

$L = 7.1\ feet\\\\W = 5.7\ feet$

The table dimension is:

$L = 2.8 \ feet\\\\W= 2.8 \ feet$

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The base of a triangle exceeds the height by 3 cm if the area is 170 cm² what is the length of the base and the height of the tr

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Hey there!!

How do we find the area of a triangle?

Ans - Formula = ( 1 / 2 ) ( base ) ( height )

In the question, it states the base exceeds the height by 3 cm

Let's take the height as ' x '

The, the base of the triangle would be ' x + 3 '

It's area = 170 cm²

Let' get this into an equation :

( 1/2 ) ( x ) ( x + 3 ) = 170

... ( x / 2 ) ( x + 3 ) = 170

... ( x² + 3x / 2 ) = 170

Multiplying by 2 on both sides

... x² + 3x = 340

Subtract 340 on both sides

... x² + 3x - 340 = 0

We can write this as

... x² - 17x + 20x - 340 = 0

... x ( x - 17 ) + 20 ( x - 17 ) = 0

... ( x + 20 ) = 0

... ( x - 17 ) = 0

... x = -20

... x = 17

As the value can not be in negatives, we take x as 17

The value of height = 17 cm

The value of the base = 20 cm

Hope my answer helps!!

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