Kate is going to put a patio in her backyard. The patio stones she is using each have an area of 1 m2. She has created the rectangular design shown.
a)What is the area of the patio?
The area of the patio is 56m.
14 x 4 = 56
b) What are the dimensions of another rectangular patio she could build with the same area?
Another rectangular patio she could build with the same area is 8 x 7.
8 x 7 = 56
c) Kate decides to make a patio with the same area but she wants it to be a square with whole number side lengths. Is this possible? Explain your reasoning.
I think that this isn't possible because it has a decimal and 56 is not a perfect square.
A square digital photo on the computer has an area of 144 cm2.
a) What is the side length of the photo?
b) The photo is enlarged so that the side length is now 36 cm. What is the area of the enlarged photo?
36 x 36 = 1296 squared
c) How many times as large as the original area is the enlarged area? that it is not a perfect square.