Question

1. the rectangle shown has an area of 56 square meters. what is its missing side length? find the perimeter.
2. what fraction of the set of circles are black?

Explanation:

Step1: Find the missing side length

We know that the area of a rectangle $A = l\times w$. Given $A = 56$ square - meters and $w = 7$ meters. Using the formula $l=\frac{A}{w}$, we substitute the values: $l=\frac{56}{7}=8$ meters.

Step2: Calculate the perimeter

The perimeter of a rectangle $P = 2(l + w)$. Substitute $l = 8$ meters and $w = 7$ meters into the formula: $P=2(8 + 7)=2\times15 = 30$ meters.

Step3: Find the fraction of black - circles

There is 1 black circle and a total of 12 circles. The fraction of black circles is $\frac{1}{12}$.

Answer:

Length: 8 meters
Perimeter: 30 meters

1. D. $\frac{1}{12}$