50 points, basic math, about areas
Can somebody please give me the answers to these?

1. 70.

2. 29.

3. 442.5

4. 289.

5.  632.

Step-by-step explanation:

The key to doing these is to split the polygons into  rectangles, triangles or trapezoids as appropriate.

For example, number 1 consists of a rectangle area 8 * 8 and another of   3* 2.

So the area = 64 + 6 = 70 unit^2.

2.  The area = sum of 3 rectangles 1*1 + 4*6 + 2*2.

3. Area = 11*15 + 11*15 + 1/2*15*15

4.  Area = 18*12 + 1/2 * 6 * 15 + 1/2 * 7 * 8.

5. Area = area of 2 rectangles + area of a trapezoid.

=  18 * 24 + 4*10 + 1/2(12 + 20) * 10.

1. 70 units²

2. 23 units²

3. 442.5 units²

4. 289 units²

5. 632 units²

Step-by-step explanation:

1. (8×8) + (3×2) = 64 + 6 = 70

2. (6×3) + (1×1) + (2×2) = 18 + 1 + 4 = 23

3. (11×15) + (11×15) + ½(15×15)

165 + 165 × 112.5 = 442.5

4. ½(6×15) + ½(7×8) + (18×12)

45 + 28 + 216 = 289

5. (28×24) - ½(10×8)

672 - 40 = 632

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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step-by-step explanation:

i used the pitagoras theoreme