A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ∆ABC for the bases of one prism and ∆DEF for the bases of the other prism (a) Is ∆ABC similar to ∆DEF? Explain and show supporting calculations

(b) Suppose the sculptor makes both prisms with the same height Which prism will have a greater volume? How many times greater? Show calculations to support your answer​

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).