Question

4. Find the area of a room whose length is 15 feet and the ratio of the length to the width is 3:2.

a. 12 sq. ft
c. 155 sq. ft
b. 160 sq. ft
d. ft 150 sq. ft​

Answer 1

Explanation:

We are given that the length of the room is 15 feet and the ratio of the length to the width is 3:2. Let the width of the room be represented by 2x, where x is a constant. Then, the length of the room is 3x, since the ratio of length to width is 3:2.

We can find the value of x by setting up the equation:

3x = 15

Solving for x, we get:

x = 5

Now, we can find the width of the room:

2x = 2(5) = 10

The area of the room is given by:

Area = Length x Width

Area = 3x * 2x

Area = 6x^2

Substituting the value of x, we get:

Area = 6(5^2) = 150 square feet

Therefore, the answer is d. 150 sq. ft.

Answer 2

d.

Explanation:

The area of a room can be calculated by using the expression:

• length × width = area

In our case, the length of the room is given as 15 feet and the ratio of the length to the width is 3:2.

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

So, this means that for every 3 units of length, there are 2 units of width. The ratio is now:

• 15:?

To solve for '?', we can simply multiply 2 by 5.

• 2 × 5 = 10

Why do we multiply 2 by 5?

We multiply 2 by 5 because in order to go from 3 to 15, we multiply the 3 by 5.

The ratio is now:

• 15: 10

Multiplying the length (15 feet) by the width (10 feet):

• 15 feet × 10 feet = 150 square feet.

Therefore, the correct answer is d, 150 sq. ft​.