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42 votes
Please help asap im so confused detailed answer please

Please help asap im so confused detailed answer please-example-1
User Krenel
by
2.2k points

1 Answer

15 votes
15 votes

Answer:

326 ft²

Explanation:

You want to know the area of the library, which is a composite shape.

Area

The area of a composite shape is found by dividing it into shapes whose areas are easy to find. The area of the shape will be a combination of the areas of the simpler shapes.

The formula for the area of a rectangle is ...

A = LW

Extending the middle horizontal line will divide the figure into two rectangles whose dimensions are given on the figure.

The upper rectangle is 30 ft wide and 5 ft high, so its area is ...

A = (30 ft)(5 ft) = 150 ft²

The lower rectangle is 22 ft wide and 8 ft high, so its area is ...

A = (22 ft)(8 ft) = 176 ft²

The area of the library will be the sum of these two rectangular areas:

library area = 150 ft² +176 ft² = 326 ft²

The library area is 326 square feet.

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Alternate solution

The area could be considered to be a rectangle that is 30 ft wide by 5+8=13 ft high, with a rectangle 30-22=8 ft wide and 8 ft high removed from the lower left corner. The difference in area between the overall rectangle and the removed rectangle is ...

(30 ft)(13 ft) -(8 ft)(8 ft) = 390 ft² -64 ft² = 326 ft²

The method shown above does not require calculating missing dimensions, so is more straightforward.

Please help asap im so confused detailed answer please-example-1
User David Thomas
by
2.9k points