Mathematics, 02.04.2020 10:45 leighsa

190 square units
54 square units
72 square units
36 square units
3 units
16 units
9 units
3 units
110 units
3 units
15 units
5 units
4 units
4 units
1 2 units
8 units

190 square units54 square units72 square units36 square units3 units16 units9 units3 units110 units3

Answers: 3

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Answer from: millie54

The last one is 54aquare units

Answer from: camillanewberry

Area of Diagram 1 = 72 unit²

Area of Diagram 2 = 190 unit²

Area of Diagram 3 = 36 unit²

Step-by-step explanation:

In each of the diagrams shown, there are triangles and rectangles.

Note that: Area of Triangle = 1/2(Base x Height)

Area of Rectangle = Length x Breath

Area of Diagram 1

= Area of Triangle 1 (+) Area of Rectangle (+) Area of Triangle 2.

Triangle 1: height = 6 units , base = 3 units

∴ Area = 1/2 * (6 units x 3 units) ==> 1/2 * (18 unit²) ==> 9 unit²

Rectangle: Length = 9 units , Breadth = 6 units

∴ Area = 9 units x 6 units = 54 unit²

Triangle 2: height = 6 units , base = 3 units

∴ Area = 1/2 * (6 units x 3 units) ==> 1/2 * (18 unit²) ==> 9 unit²

Recall; Area of Triangle 1 (+) Area of Rectangle (+) Area of Triangle 2 = Area of Diagram.

∴ Area of Diagram 1 = 9 unit² + 54 unit² + 9 unit² = 72 unit²

Area of Diagram 2

= Area of Triangle 1 (+) Area of Rectangle (+) Area of Triangle 2.

Triangle 1: height = 10 units , base = 3 units

∴ Area = 1/2 * (10 units x 3 units) ==> 1/2 * (30 unit²) ==> 15 unit²

Rectangle: Length = 15 units , Breadth = 10 units

∴ Area = 15 units x 10 units = 150 unit²

Triangle 2: height = 10 units , base = 5 units

∴ Area = 1/2 * (10 units x 5 units) ==> 1/2 * (50 unit²) ==> 25 unit²

Recall; Area of Triangle 1 (+) Area of Rectangle (+) Area of Triangle 2 = Area of Diagram.

∴ Area of Diagram 2 = 15 unit² + 150 unit² + 25 unit² = 190 unit²

Area of Diagram 3

= Area of Triangle 1 (+) Area of Triangle 2 (+) Area of Rectangle.

Triangle 1: height = 4 units , base = 4 units

∴ Area = 1/2 * (4 units x 4 units) ==> 1/2 * (16 unit²) ==> 8 unit²

Triangle 2: height = 4 units , base = 2 units

∴ Area = 1/2 * (4 units x 2 units) ==> 1/2 * (8 unit²) ==> 4 unit²

Rectangle: Length = (8 - 2) units = 6 units, Breadth = 4 units

∴ Area = 6 units x 4 units = 24 unit²

Recall; Area of Triangle 1 (+) Area of Triangle 2 (+) Area of Rectangle = Area of Diagram.

∴ Area of Diagram 3 = 8 unit² + 4 unit² + 24 unit² = 36 unit²

Answer from: Quest

step-by-step explanation:

Answer from: Quest

A. -10 is the value of x

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190 square units
54 square units
72 square units
36 square units
3 units
16...