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Find the measure of D, and the perimeter and area of parallelogram ABCD.
A
16cm
30⁰
25cm
8cm
OLD = 150°, P = 82 centimeters, A = 200 square centimeters
O D = 60°, P = 41 centimeters, A = 200 square centimeters
O D = 160°, P = 82 centimeters, A = 400 square centimeters
OLD = 60°, P = 41 centimeters, A = 400 square centimeters

Respuesta :

The measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

How to determine the area and perimeter

For the parallelogram ABCD, it can be deduced that

Line AB and CD are parallel and AD is a transversal so the angles A and D is co-interior , Co-interior angles are said to be supplementary whose sum is 180 degrees

A + D = 180°

30° + D = 180°

D = 180° - 30°

D = 150°

Perimeter = 2 ( a + b)

a = 16cm, b = 25cm

Perimeter = 2 (  16 + 25) = 2 ( 41)

Perimeter = 82 cm

Area = b × h

base = 25cm , h = 8cm

Area = 25 × 8

Area = 200 square centimeters

Thus, the measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

Learn more about a parallelogram here:

https://brainly.com/question/970600

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