Question

what fraction of the paint in the can will seb have after painting the two walls? round the answer to the nearest tenth.

Answer 1

Answer:

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Answer 2

Given,

• A trapezium with parallel sides 15ft and 20ft and height 9ft.

• A rectangle with dimensions 14ft and 9ft.

• A gallon of paint which can paint 400 square ft.

To find,

Fraction of paint left after painting the two walls.

Solution,

To calculate the fraction, we first need to calculate the paint used in painting these two walls.

For the rectangular wall,

Area of wall = length*breath

                    $= 14ft*9ft\\= 126sq.ft$

For the trapezium wall,

Area of wall = $\frac{1}{2}$(sum of parallel sides)*height

                    $= \frac{1}{2}(15ft + 20ft)9ft\\= 157.5sq.ft$

Total area = $126 +157.5 sq.ft = 283.5sq.ft$

The amount of paint in the gallon is proportional to the square ft of the area it can paint. This can be used to find the fraction of paint remaining.

Sq.ft of the area that can be painted = $400 - 283.5 sq.ft$

                                                                       $= 116.5 sq.ft$

Fraction of the paint remaining = $\frac{116.5}{400} = 0.291$

Rounded off to nearest 10th = 0.3

Therefore, 0.3 fraction of the paint remains in the box.