# FIND THE BASE AND HEIGHT OF A PARALLELOGRAM

In the Above figure, ABCD is a Parallelogram.

The formula for Area of a Parallelogram,

Area = Base x height

If given area and base, then the formula for height

Height = Area / Base

If given area and height, then the formula for base

Base = Area / Height

Find the base or height of each parallelogram.

Problem 1 :

Solution :

Given, Area = 126 yd² and Base = 9 yd

Area of a parallelogram = Base x height

To find the height,

Height = Area / Base

Height = (126 yd²) / 9 yd

= 14 yd

So, the height of a parallelogram is 14 yd.

Problem 2 :

Solution :

Given, Area = 16 ft² and Height = 2 ft

Area = Base x Height

To find the base,

Base = Area / Height

Base = (16 ft²) / 2 ft

= 8 ft

So, the base of a parallelogram is 8 ft.

Problem 3 :

Solution :

Given, Area = 30 in² and Base = 3 in

Area = Base x height

To find the height,

Height = Area / Base

Height = (30 in²) / 3 in

= 10 in

So, the height of a parallelogram is 10 in.

Problem 4 :

Solution :

Given, Area = 44 ft² and Height = 11 ft

To find the base,

Base = Area / height

Base = (44 ft²) / 11 ft

= 4 ft

So, the base of a parallelogram is 4 ft.

Problem 5 :

Solution :

Given, Area = 160 in² and Base = 10 in

To find the height,

Height = Area / base

Height = (160 in²) / 10 in

= 16 in

So, the height of a parallelogram is 16 in.

Problem 6 :

Solution :

Given, Area = 65 yd² and Height = 5 yd

To find the base,

Base = Area / height

Base = (65 yd²) / 5 yd

= 13 yd

So, the base of a parallelogram is 13 yd.

Problem 7 :

Solution :

Given, Area = 88 in² and Base = 8 in

To find the height,

Height = Area / base

Height = (88 in²) / 8 in

= 11 in

So, the height of a parallelogram is 11 in.

Problem 8 :

Solution :

Given, Area = 52 yd² and Height = 4 yd

To find the base,

Base = Area / height

Base = (52 yd²) / 4 yd

= 13 yd

So, the base of a parallelogram is 13 yd.

Problem 9 :

Solution :

Given, Area = 105 ft² and Base = 7 ft

To find the height,

Height = Area / base

Height = (105 ft²) / 7 ft

= 15 ft

So, the height of a parallelogram is 15 ft.

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