Measurement, NAP_70036

Question

In the figure below, square ABCD has area 64 cm2^2 square DEFG has area 25 cm2^2 and square AHIJ has area 100 cm2^2. What is the area triangle AGF?

Worked Solution
Area AGF = 12 ×\dfrac{1}{2}\ \times FG ×\times GA
= 12 ×\dfrac{1}{2}\ \times FG ×\times (DA - DG)

DA = 64=8\sqrt{64} = 8 cm

DG = 25=5\sqrt{25} = 5 cm

FG = 25=5\sqrt{25} = 5 cm
∴\therefore Area AGF = 12 ×\dfrac{1}{2}\ \times 5 ×\times (8 - 5)
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

692

Question

In the figure below, square ABCD has area 64 cm2^2 square DEFG has area 25 cm2^2 and square AHIJ has area 100 cm2^2. What is the area triangle AGF?

Worked Solution
Area AGF = 12 ×\dfrac{1}{2}\ \times FG ×\times GA
= 12 ×\dfrac{1}{2}\ \times FG ×\times (DA - DG)

DA = 64=8\sqrt{64} = 8 cm

DG = 25=5\sqrt{25} = 5 cm

FG = 25=5\sqrt{25} = 5 cm
∴\therefore Area AGF = 12 ×\dfrac{1}{2}\ \times 5 ×\times (8 - 5)
= 7.5 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
7.5 cm$^2$

Answers

Is Correct?Answer
✓

7.5 cm2^2

x

12.5 cm2^2

x

15 cm2^2

x

17.5 cm2^2

Tags

  • staging_suejones