CBSE Class 10 Maths (Standard) 2022 · Paper 30/6/1 · Question 13

Quadratic Equations 4 marks Hard

Social work aims at fulfilment of human needs. Social workers aim to open the doors of access and opportunity for those who are in greatest need. Free education is a great social work. By doing so, we can remove illiteracy from our society. Rohan, being a social worker, wants to donate his land to the Village Panchayat for opening of a school. Rohan's land is in the form of a rectangle of dimensions

500

\times

400

m. The Village Panchayat decides to leave the area on all the four sides of the land for grass and flowers. If width of

x

m land is kept for grass and flowers on all the four sides (as shown in Figure 4), answer the following:

Rohan's rectangular land 500 m x 400 m with inner plot PQRS and border width x

aFind the lengths $P Q$ and $QR$ if area of grass and flowers region surrounding $P QR S$ is $118400$ m $^{2}$ .[2]
bAlso, find the perimeter of the rectangle $P QR S$ .[2]

Answer

P Q = 340

QR = 240

m; perimeter of

P QR S = 1160

m (with

x = 80

m).

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CBSE Class 10 Maths (Standard) 2022 · Paper 30/6/1, Question 13 — all 14 questions with answers →

CBSE Class 10 Maths (Standard) 2022 · Paper 30/6/1 · Question 13

Answer

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