Question

Is my answer correct?

Answer 1

Question:- Find X

Given:-

1. A rectangle consist of 4 identical triangle
2. diagonals of rectangle are at 90° to each other
3. length of half of the one diagonal is 8 in
4. length of the half of the other diagonal is X in
5. Area of the rectangle = 48 in²
6. Base of triangle = 8in
7. height of the triangle = x in

Answer :- X = 3 in

Formula :- Area of the rectangle is equal to the sum of the area of the all four the triangle

`area \: of \: rectangle \\= 4 * area \: of \:identical \: triangle`

Explanation :-

`area \: of \: rectangle =\\ 4 * area \: of \:identical \: triangle`

`48 {in}^(2) = 4 * (1)/(2) * base * height \\ 48 {in}^(2) = 2 * base * height \\ (48)/(2) = 8 * height \\ \frac{ \cancel{48} {}^( \: \: 24) }{ \cancel{2}} = 8 * height \\ (24)/(8) = height \\ \frac{ \cancel{24} {}^( \: \: 3) }{ \cancel{8}} = height \: \\ height = x = 3in \:`

Answer 2

• No, x = 3 in

Explanation:

The area of the rhombus is half the product of its diagonals

• A = 1/2(2x*16) = 48
• 16x = 48
• x = 48/16
• x = 3