Question

Se

4 Shonda is hanging pictures on a
wall in her home. She has pictures
with areas of 16 square inches and
25 square inches. She hangs a total
of 7 pictures which covers 148
square inches of wall space. Let x be
the number of pictures with an area
of 16 square inches and y be the
number of pictures with an area of
25 square inches.

Answer 1

The area of the larger square is 4 times larger than the area of the smaller square, and it is calculated by squaring the scale factor and multiplying it by the area of the smaller square.

Step-by-step explanation:

The area of the larger square is 4 times larger than the area of the smaller square. To compare the areas of similar figures, we use the square of the scale factor. In this case, since the dimensions of the larger square are twice that of the smaller square, the scale factor is 2. The area of the larger square is calculated by squaring the scale factor and multiplying it by the area of the smaller square: (2^2) * 16 = 4 * 16 = 64 square inches. Therefore, the area of the larger square is 64 square inches.

Answer 2

X+y=7 and 16x+25y=148