Hey there :)
All these shapes are known as a rhombus.
The are formula of a rhombus is
1st ) The area is given = 48 in²
The diagonals are 1) 8 in and 8 in = 16 in , 2) x in and x in = 2x in
Apply the formula to find x
48 = 16x
Divide by 16 on either side to isolate x
3 = x
Check:
Area =
=
= 48 in²
2nd ) Area is given = 48 ft²
The diagonals are 1) 4 + 4 = 8 ft , 2) x
Apply the formula to find x
48 =
48 = 4x
Divide by 4 on either side
12 = x
Check:
Area =
=
= 48 ft²
3rd ) Given diagonals are 19 ft and 38 ft
Area =
=
= 361 ft²
All these shapes are known as a rhombus.
The are formula of a rhombus is
1st ) The area is given = 48 in²
The diagonals are 1) 8 in and 8 in = 16 in , 2) x in and x in = 2x in
Apply the formula to find x
48 = 16x
Divide by 16 on either side to isolate x
3 = x
Check:
Area =
=
= 48 in²
2nd ) Area is given = 48 ft²
The diagonals are 1) 4 + 4 = 8 ft , 2) x
Apply the formula to find x
48 =
48 = 4x
Divide by 4 on either side
12 = x
Check:
Area =
=
= 48 ft²
3rd ) Given diagonals are 19 ft and 38 ft
Area =
=
= 361 ft²