Question

Abigail wants to make a tapestry in the shape of a parallelogram that is 24 inches across the bottom and 36 inches tall. If she pieces smaller similar parallelograms that are 2 inches at the base and 3 inches tall, how many will she need to make the tapestry?

Answer 1

Answer:

144

Step-by-step explanation:

Abigail wants to produce a tapestry that will be in the shape of a parallelogram

The tapestry is 24 inches across the bottom and 36 inches tall

She pieces smaller simlar parallelograms that are 2 inches wide and 3 inches tall

The first step is to find the area of the whole tapestry

Area = base × height

Base= 24 inches

Height= 36 inches

Area= 24×36

= 864 square inches

The next step is calculate the area of the smaller pieces

Area= base × height

Base= 2 inches

Height= 3 inches

Area= 2×3

= 6 square inches

Therefore, the value needed to produce the tapestry can be calculated by dividing the area of the whole tapestry by the area of the smaller pieces

= 864/6

= 144

Hence Abigail will need 144 smaller similar parallelograms to make the tapestry.