Question

Please help me!Please explain it​

Answer 1

Answer:

1,416 cm²

Step-by-step explanation:

There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.

• To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.
• To find the area of a rectangle, multiply the width by the length.

First, find the area of the triangles.

In this figure, there are two triangles with heights of 12 and bases of 18.

$12 * 18 = 216$

Then, multiply the product by 1/2.

$216 * 1/2 = 108$

There are two triangles, so multiply, the product, 108, by 2.

$108*2 = 216$

The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.

Secondly, find the area of the rectangles.

There are two rectangles with widths of 25 and lengths of 15.

$25*15 = 375$

There are two rectangles, so multiply the product, 375, by 2.

$375*2 = 750$

The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.

Lastly, we find the area of the rectangle in the middle.

This rectangle has a length of 18 and a width of 25.

18$18*25 = 450$

The area of this rectangle is 450 cm.

Lastly, add the areas of all the shapes.

$108 + 108 + 375 + 375 + 450 = 1,416.$

Therefore, the area of this figure is 1,416 cm².