Question

Here are two similar rectangles.Work out the area of the larger rectangle.

Answer 1

In math, similar rectangles have equal ratios of lengths to widths. Use the smaller rectangle's lengths and widths and the ratio to find the lengths and widths of the larger rectangle. Multiplying the larger rectangle's length by its width gets the area.

Step-by-step explanation:

In mathematics, if two rectangles are similar, it means the ratios of the lengths to the widths of the two rectangles are equal. Therefore, you can use the lengths and widths of the smaller rectangle to determine the lengths and widths of the larger rectangle.

For instance, if your smaller rectangle has length of 3 units and width of 2 units, and the ratio of the sides of the larger to the smaller rectangle is 2:1, then the larger rectangle has a length of 6 units and width of 4 units.

To calculate the area of the larger rectangle, you use the formula for the area of a rectangle, which is length multiplied by width. So, if your larger rectangle has a length of 6 units and width of 4 units, you would multiply 6 by 4 to get the area, which is 24 square units.

Learn more about Area of Rectangle

Answer 2

The area of the larger rectangle is 40.32 cm²

Step-by-step explanation:

Two rectangles are similar if the lengths of their corresponding sides form a proportion. From the picture:

4.8/4 = x/7

where x is the length of the base of the larger rectangle.

x = (4.8/4)*7

x = 8.4 cm

The area of the larger rectangle is:

A = base*height

A = 8.4*4.8

A = 40.32 cm²