Question

VLorea is designing the top of a quilt which measures 2,160 square inches. Triangles will cover 432 square inches of the quilt, and squares will cover 180 square inches. The rest of the quilt will be parallelograms with a base of 2 inches and a height of 1.5 inches. How many parallelograms should she cut to complete the quilt? 516 528 617 720 2,160 in.2

Answer 1

516

Explanation:

Measure of quilt = 2160 in²

Covered by triangle = 432 in²

Covered by square =. 180 in²

Rest will be covered by parallelogram :

Base of parallelogram = 2 inches

Height of parallelogram = 1.5 inches

Number of parallelograms that should be cut:

Total area to be covered by parallelogram :

2160 - (432 + 180) = 1548 in²

Area (A) of each parallelogram :

A = b*h = 2 * 1.5 = 3 in²

Number of parallelograms

= Total area /area per parallogram

= 1548 in² / 3in²

= 516 parallelograms