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17. point a is shown on the number line below. what is the location of …

Question

  1. point a is shown on the number line below.

what is the location of point a?
$\boldsymbol{a}$ $-1.1$
$\boldsymbol{b}$ $-1.2$
$\boldsymbol{c}$ $-0.6$
$\boldsymbol{d}$ $-0.8$
6.nso.10 dok 1

  1. what is the area of this figure?

______ square feet

Explanation:

Step1: Find number line interval

Between -1 and 0, there are 5 equal ticks, so each tick is $\frac{0 - (-1)}{5} = 0.2$. Between -2 and -1, each tick is also 0.2.

Step2: Locate Point A

Point A is 1 tick right of -1. So value is $-1 + 0.2 = -0.8$.

Step3: Split figure into two rectangles

First rectangle: width 8 ft, height 15 ft. Area: $8 \times 15 = 120$ sq ft.
Second rectangle: width 28 ft, height 16 ft. Area: $28 \times 16 = 448$ sq ft.

Step4: Sum the two areas

Total area = $120 + 448 = 568$ sq ft.

Answer:

  1. d. -0.8
  2. 568 square feet