The perimeter of a rectangular ink pad is 22 centimeters the area is 28 square centimeters

Answer

W=7

Explanation:

The formula for the perimeter for a rectangle is P = 2L + 2W

The formula for the area of a rectangle is A = LW

where L = length and W = width

P = 22 and A = 28

22 = 2L + 2W

28 = LW

Rewriting the 2nd equation L = 28/W

Substituting this into the first equation

22=2(28/W) + 2W

Reworking the equation to eliminate the denominator

22W = 2(28) + 2W2

22W = 56 + 2W2

and

2W2 - 22W + 56 = 0

Dividing by 2

W2 - 11W + 28 = 0

(W-7)(W-4)

Set each factor equal to 0 and solve each for 0

W = 4, W = 7

then W = 4

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m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°