Algebra 2

Solving By Factoring:
The length of the side of a large square is 1 cm less than twice the length of the of the side of a smaller square. The area of the large square is 33cm^2 more than the area of the small square. Find the length of the sides of the two squares.

1. 👍 0
2. 👎 0
3. 👁 197
1. (2x-1)^2 = x^2 + 33
4x^2-4x+1 = x^2+33
3x^2-4x-32 = 0
(3x+8)(x-4) = 0
...

1. 👍 0
2. 👎 0
posted by Steve

Similar Questions

1. Math

you can draw a square inside another square by placing each vertex of the inner square on one side of the outer square. The large square in this diagram has side length 10 units a) Determine the area of the inscribed square as a

asked by Annoym on February 22, 2016
2. math

Each student desk in a classroom has a rectangular desktop that measures 60 cm by 45cm .Some of these desks are arranged ,side by side . Find the least length of a side of the square . AND the number of rows and colums of desk

asked by ZEELINGA on January 18, 2013
3. math

A truncated square pyramid (also known as a frustum) is an object obtained by cutting a square pyramid by a plane parallel to its base (as shown in the figure). For a truncated square pyramid it is known that the side length of

asked by ani on February 22, 2015
4. geometry

square 1 has a side length of x, and square 2 has a side length of y. Square 2 is formed by joining the midpoints of the sides of square 1 in order. If x=2, find the ratio of the are of square 1 to the area of square 2

asked by kim on July 29, 2017
5. math

The length of a side of a square is fifteen less than four times the length of a side of a second square. The perimeter of the two squares differ by 24 inches. Find in inches, the length of a side of the smaller square. [ Only an

asked by vincent on July 27, 2013
1. Algebra 2

Orlando is making a design for a logo. He begins with a square measuring 20 inches on each side. The second square has a side length of 16 inches, and the third square has a side length of 12.8 inches. Which square will be the

asked by Kuaersh on May 20, 2015
2. Algebra

The perimeter of an equilateral triangle is 7 in. more than the perimeter of a square. The side of the triangle is 5 in. longer than the side of the square. Find the length of each side of the triangle. (Note: An equilateral

asked by Jodi on August 16, 2007
3. math

A large cube is made up of 27 small cubes. Each of the six faces of the large cube has 9 small squares. Each small square has an area of 144 square millimeters. What is the length of each side of the large cube?

asked by John on May 23, 2013
4. Math

1. Square Roots and Irrational Numbers A. 0.12 B.0.1257486 C.0.12121212 D.0.111111 2.Square Roots and Irrational Numbers A.square root of 121 B.square root of 150 C.square root of 400 D.square root of 1,000,000 3. Which number is

asked by Hotpinkleapord1229 on January 20, 2020
5. algrebra 2

it is called completing the square here is the equation 4x^2-4x+1=9 if anyone can help me please do okay i really need ot understand this 4x^2-4x+1=9 Move the numbers to the other side. 4x^2 -4x = 9-1 4x^2 -4x = 8 Now factor out 4

asked by lisa on November 2, 2006

More Similar Questions