*lin had a rectangular carpet. it was too large for her living room, and so on each side of the carpet, she cut a stripe 1 foot wide. as a result, the area of the carpet became 26 ft2 smaller. what was the original perimeter of the carpet?show and explain, ifcorrect i mark and give max points

The new area is (x-2)(y-2), the area is xy-2(x+y)+4, and the difference is 2(x+y)-4, which is 26. x+y=15, so the perimeter is 2*15=30 feet.

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step-by-step explanation:

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°