Question

1. the area of a rectangular wall is 882 feet squared. the wall is 18 feet tall. how long is the wall?

49 feet squared
49 feet
50 feet
48 feet squared

1. what is the product of 3.4 x 10^4?

120.4
340,000
34,000

Explanation:

Question 3

Step1: Recall area formula for rectangle

The area \( A \) of a rectangle is given by \( A = \text{length} \times \text{height} \). Let \( l \) be the length and \( h = 18 \) feet be the height, \( A = 882 \) square feet. So, \( l=\frac{A}{h} \).

Step2: Substitute values and calculate

Substitute \( A = 882 \) and \( h = 18 \) into the formula: \( l=\frac{882}{18}=49 \). The unit for length is feet (not square feet, as square feet is for area).

Step1: Recall scientific notation multiplication

For \( a\times10^{n} \), when multiplying by a number, we can also interpret \( 10^{4} \) as 10000 (since \( 10^{4}=10\times10\times10\times10 = 10000 \)). So, \( 3.4\times10^{4}=3.4\times10000 \).

Step2: Perform the multiplication

Calculate \( 3.4\times10000 \). Moving the decimal point 4 places to the right in 3.4 gives 34000.

Answer:

49 feet

Question 4