Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

The area of square ABCD is 7cm

The Area Of Square ABCD Is 7cm class=

Sagot :

Answer:

We know that the area of a square of sidelength L, is:

Area = L^2

In this case, we have:

L = 2cm + x cm

And we know that the area of the square is 7cm, then:

Area = 7cm^2 = (2cm + x cm)^2

7cm^2 =  4cm^2 + 4cm*xcm + (x cm)^2

7cm^2 = 4cm^2 + (4*x)cm^2 + x^2 cm^2

Now we can remove all the "cm^2" and just get the numbers:

7 = 4 + 4*x + x^2

We can subtract 4 in both sides to get

7 - 4 = 4 + 4*x + x^2 - 4

3 = 4*x + x^2

This is what whe wanted to prove.