Question

The area of the large rectangle is twice the area of the small rectangle. What is the value of x?Two rectangles are shown. The larger rectangle has dimensions 4 centimeters by 12 centimeters. The smaller rectangle has dimensions 3 centimeters by x centimeters. A. 7 cm B. 8 cm C. 11 cm D. 13 cm

Answer 1

B. 8 cm.

Explanation:

The area of a rectangle is the length*width.

The area of the larger rectangle is 4*12=48.

The area of the smaller rectangle is 3*x=3x.

If the larger rectangle's area is twice that of the smaller rectangle, then we can say 48=2*3x.

Let's solve for x

48=2*3x

48=6x

x=8