Question

Is my answer correct?

Answer 1

Answer:

• No, x = 3 in

Step-by-step 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

Answer 2

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

$area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle$

Explanation :-

$area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle$

$48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \:$