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Please answer this correctly

Please answer this correctly-example-1
User Katucha
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2 Answers

6 votes

Answer:

216 km²

Explanation:

To solve this, you have to divide the figure into different parts. I divided the parts up into four sections. I will work on the parts in numerical order.

1. At the top of the rectangle, it is marked 4 km. On the left side, it is marked 11 km. This is the length and width.

A = lw

A = 11 × 4

A = 44 km²

2. On the left side of this rectangle, it is marked 7 km. At the top it is marked 5 km, but there is a portion that does not have a measurement (the part with a different color than the rest. Because this line is also part of rectangle 1, we know that the line is 4 km. Adding up the two numbers gives you 9 km.

4 + 5 = 9

A = lw

A = 7 × 9

A = 63 km²

3. On the left side, it is marked 5 km. On the bottom, it is marked 20 km.

A = lw

A = 20 × 5

A = 100 km²

4. This is one is a bit more tricky. This is a triangle, so we have to find the base and the height. The base is 6 km. You have to figure the height. Look at the picture with the red lines.

The red line on the right side has a length of 17 + 3 + x = 20 + x. The length is 20 + x because there is a portion of the line that is missing.

The red lines on the left side have a length of 5 + 7 + 11 = 23. The two side should be equal so

23 = 20 + x

x = 3

Now, you have the height. Use the equation for area of a triangle to solve.

A = 1/2bh

A = 1/2(3)(6)

A = 1/2(18)

A = 9 km²

Now you have to add up all the areas to find the total area.

44 km² + 63 km² + 100 km² + 9 km² = 216 km²

Please answer this correctly-example-1
Please answer this correctly-example-2
User Olivia
by
8.5k points
5 votes

Answer: 207^2 + 9km^2 = 216km^2

Explanation:

(my explanation is wrong)

All you want to do is break this figure up into rectangles and triangles.

I see 3 rectangles and 1 triangle.

Three Rectangles:

The bottom one has the dimension of 5 and 20. 5 x 20 = 100 km^2

The middle one has the dimensions of 5+4 and 7. 9 x 7 = 63 km^2

The top one has the dimensions of 4 and 11. 4 x 11 = 44 km^2

Add them all up to get 207km^2

One Triangle:

We can see at the bottom rectangle that the left side is 5 and the right side is 3 + x. X being our missing height of the triangle. The height equals 2.

The triangle now has the dimensions of 2 and 6. 2 x 6 = 12. Then divide by 2 to get 6 km^2

User Grasdy
by
8.8k points

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