Question

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Answer 1

Answer:

280 ft squared

Step-by-step explanation:

To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.

The total area is that of a rectangle: 30 * 15 = 450 ft squared.

Now, the shaded region is made up of a rectangle and a triangle.

- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.

- The triangle has base 12 and height 15, so using the area of a triangle formula: $A=(bh)/2$ (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.

- The total shaded region is: 80 + 90 = 170 ft squared

Subtract 110 from 450: 450 - 170 = 280 ft squared.

Thus, the answer is 280 ft squared.

Hope this helps!

Answer 2

Answer:

280 ft^2

Step-by-step explanation:

First we find the area of the large rectangle

A =l*w where l =30 and w = 15

A =30*15 = 450 ft^2

Then we find the area of the small shaded rectangle

A = l*w  where l = 10 and w = 8

A = 8*10 = 80ft^2

We also need to find the area of the shaded rectangle

A = 1/2 bh   where b is 12 and h is 15

A = 1/2 *15*12

A =90 ft^2

We take the total area and subtract the shaded area

450 - 80 - 90

280 ft^2